Tales of Gravity
Keighton Auditorium
University of Nottingham
Tales of Gravity celebrates the opening of the Nottingham Centre of Gravity (NCoG), which brings together Nottingham’s expertise in all aspects of gravitation in the Schools of Mathematical Sciences and Physics & Astronomy. It will cover a range of areas including fundamental physics, cosmology, relativistic astro, data and modelling, mathematics and experiment. The first two days of the meeting will be run in conjunction with UK Cosmology.
The workshop will run alongside the Cosmic Titans exhibition, an inspiring blend of art and science, featuring commissions from nine artists who have collaborated with members of the NCoG and other UK-based researchers in gravity and quantum physics. Through immersive sculptural installations, film, and photography, these artists capture the excitement, wonder, and poetry of cutting-edge scientific discovery, offering a unique perspective on how these advancements shape our future.
Invited speakers
Stefanos Aretakis (University of Toronto)
Beatrice Bonga (Radboud University)
Maria Charisi (Washington State University and Institute of Astrophysics, Greece)
Stephen Fairhurst (University of Cardiff)
Ruth Gregory (King's College London)
Siong Heng (University of Glasgow)
Luis Lehner (Perimeter Institute)
David Marsh (King's College London)
Enrico Pajer (University of Cambirdge)
Will Percival (University of Waterloo)
Alessandra Silvestri (Leiden University)
Thomas Van Riet (Leuven University)
Nicolas Yunes (University of Illinois Urbana-Champaign)
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Registration and welcome Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
09:20
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Plenary talks: Alessandra Silvestri (Gravity in the era of Stage IV Surveys) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Laura Sberna-
09:20
Gravity in the era of Stage IV Surveys 1h
Stage IV Large Scale Structure Surveys are ushering in a new era of precision cosmology!
In this talk, I will explore the effort to test gravity on cosmological scales, highlighting the theoretical advancements aimed at constructing an optimal framework. I will also touch on the synergy with gravitational wave surveys. Additionally, I will provide a detailed review of recent findings based on currently available data and conclude with an outlook on the challenges and future prospects in this field.Speaker: Alessandra Silvestri
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Coffee break 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
10:50
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12:10
Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Elisa Todarello-
10:50
Dark energy with the help of interacting dark sectors 20m
We analyze theories that do not have a de Sitter vacuum and cannot lead to slow-roll quintessence, but which nevertheless support a transient era of accelerated cosmological expansion due to interactions between a scalar ϕ and either a hidden sector thermal bath, which evolves as dark radiation, or an extremely light component of dark matter. We show that simple models can explain the present-day dark energy of the Universe consistently with current observations. This is possible both when ϕ’s potential has a hilltop form and when it has a steep exponential runaway, as might naturally arise from string theory. We also discuss a related theory of multifield quintessence, in which ϕ is coupled to a sector that sources a subdominant component of dark energy, which overcomes many of the challenges of slow-roll quintessence.
Speaker: Joaquim Gomes (University of Liverpool) -
11:10
The impact of theoretical priors on cosmological modified gravity constraints 20m
Cosmological constraints on modified gravity typically need to assume parametrisations that heavily restrict the functional forms of the independent degrees of freedom. They are also subject to assumptions about the background expansion history, the speed of gravitational waves, and theoretical priors such as shift symmetry and stability in a gravitational wave background. I show the impact of these choices on constraints on modified gravity in both the EFT of Dark Energy and phenomenological $\mu_0-\Sigma_0$ formalisms, using CMB anisotropies and lensing, the ISW effect, galaxy clustering, and Type IA supernovae as probes.
Speaker: Neel Shah (University of Portsmouth) -
11:30
Axion-dilaton interactions in the dark sector 20m
Axion-dilaton models provide a well-motivated, minimal class of models
for which kinetic interactions between multiple scalar fields and their
predictions can be explored, in particular in late time cosmology. I will present the cosmological implications of these interactions when prescribing an axion and a dilaton field to describe dark matter and dark energy, respectively, including the predicted effects on the CMB, late time structure growth, and particle mass evolution.Speaker: Adam Smith (University of Sheffield) -
11:50
Gravitational Turbulence: the Small-Scale Limit of the Cold-Dark-Matter Power Spectrum 20m
The matter power spectrum, $P(k)$, is one of the fundamental quantities in the study of large-scale structure in cosmology. In this talk, I will study its small-scale asymptotic limit, and give a theoretical argument to the effect that, for cold dark matter in $d$ spatial dimensions, $P(k)$ has a universal $k^{-d}$ asymptotic scaling with the wave-number $k$, for $k \gg k_{\rm nl}$, where $k_{\rm nl}^{-1}$ denotes the length scale at which non-linearities in gravitational interactions become important. I will explain how gravitational collapse drives a turbulent phase-space flow of the quadratic Casimir invariant, where the linear and non-linear time scales are balanced, and this balance dictates the $k$ dependence of the power spectrum. The $k^{-d}$ scaling can also be derived by expressing $P(k)$ as a phase-space integral in the framework of kinetic field theory, analysing it by the saddle-point method; the dominant critical points of this integral are precisely those where the time scales are balanced. The coldness of the dark-matter distribution function - its non-vanishing only on a $d$-dimensional sub-manifold of phase-space - underpins both approaches. I will show Vlasov-Poisson simulations to support the theory.
Speaker: Barry Ginat (University of Oxford)
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Lunch 1h 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
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Plenary talks: Enrico Pajer (The Ins and Outs of Cosmological Correlators) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: David Stefanyszyn-
13:40
The Ins and Outs of Cosmological Correlators 1h
By directly probing the initial conditions of our universe, cosmological surveys offer us a unique observational handle on quantum field theory in curved spacetime with dynamical gravity and might even allow us to glean information about a full theory of quantum gravity. Here I will report on recent progress in the study of the natural observables in the problem, namely cosmological correlators. To set the stage, I will review the four things that every physicist should know about cosmology. Then, I will review results from two different approaches. First, I will provide an executive summary of general properties that follow from symmetries, unitarity, causality and locality. I will describe how these properties can be leveraged to predict signals that might be hiding in cosmological surveys. Second I will present a new "in-out" formalism to compute cosmological correlators as an interesting alternative to the well-known in-in formalism and I will stress some of its advantages, such as a proposal for a de Sitter scattering matrix.
Speaker: Dr Enrico Pajer (University of Cambridge)
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Flash talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: David Stefanyszyn (University of Nottingham)-
14:40
Weak Gravity from Horndeski Theories 10m
Modifications of General Relativity have been widely studied to alleviate cosmological tensions. Most of these models lead to an effective strengthening of gravity and enhanced growth. However, the S8 tension — arising from weak-lensing observations that suggest less structure formation than predicted by ΛCDM — points to a different scenario. In this talk, we will investigate stable subclasses of scalar-tensor theories that effectively weaken gravity. Starting from the stable parameterisation of linear Horndeski theory we explore possibilities to suppress the linear growth of structure at late times and compare it to current observational constraints for Modified Gravity.
Speaker: Linus Thummel (University of Edinburgh) -
14:50
Deciphering Coupled Scalar Dark Sectors 10m
Coupled dark sector models have gained significant attention, motivated by recent advances in cosmology and the pressing need to address unresolved puzzles. In this talk, I will review recent work on coupled scalar dark sector models involving scalar couplings arising either from their kinetic terms, or from their scalar potential. Using a dynamical systems approach, I will show that certain kinetic and potential interactions may mimic one another or even cancel out, making them observationally indistinguishable. If such a distinction becomes possible through observational constraints, it could provide valuable insights into the underlying field space metric and its connection to fundamental physics.
Speaker: Saba Rahimy (Swansea University) -
15:00
Understanding acoustic scale observations: the one-sided fight against $\Lambda$ 10m
The cosmic microwave backround (CMB) and baryon acoustic oscillations (BAO) provide precise benchmarks for measuring the expansion history of the universe. In particular, the CMB angular scale measurement $\theta_*$, which determines the ratio of the sound horizon to the angular diameter distance to the last scattering surface, offers a robust constraint on cosmological models independent of late-time physics. We show that the null energy condition of general relativity imposes strict limits on the BAO observables used by DESI. We also identify which regions of parameter space in the CPL parameterization $w(a) = w_0 + w_a(1-a)$ remain viable while satisfying these conditions.
Speaker: Ewan Chamberlain (University of Sussex) -
15:10
Bayesian Optimisation for Bayesian Evidence 10m
Cosmological model selection, in the framework of Bayesian inference requires the calculation of the Bayesian evidence. This can often be quite challenging, especially if the underlying likelihood function is expensive to evaluate. I will discuss how a technique called Bayesian Optimisation, based on Gaussian Process regression, can be used to calculate this evidence in far fewer likelihood evaluations, offering a much more efficient approach compared to traditional methods.
Speaker: Ameek Malhotra
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Coffee 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
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Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Swagat Mishra-
15:50
Impact of non-Gaussian Galactic foregrounds on measurements of CMB lensing and primordial gravitational waves 20m
A major challenge in the analysis of Cosmic Microwave Background (CMB) data is posed by the presence of Galactic foregrounds, especially thermal dust emission. Both the search for primordial B-modes and measurements of structure growth rely on foreground modelling, for which most works implicitly assume that all sky components follow Gaussian statistics. However, we know that this is a poor description for Galactic dust, which, for instance, exhibits non-Gaussian filamentary structure that cannot be reproduced from random Gaussian statistics. In this talk, I will begin by briefly discussing an in-depth study of whether dust non-Gaussianity can bias searches for primordial gravitational waves using CMB B-modes [1]. I will then focus on the impact it has on CMB lensing reconstruction analyses, with a particular focus on the final Atacama Cosmology Telescope CMB lensing power spectrum measurement.
[1] I. Abril-Cabezas, C. Hervías-Caimapo, S. von Hausegger, B. D. Sherwin and D. Alonso (2024) MNRAS, 527, 5751, arXiv: 2309.09978
Speaker: Irene Abril-Cabezas (University of Cambridge) -
16:10
A flexible parameterization to test early physics solutions to the Hubble tension with future CMB data 20m
The discrepancy between local measurements of the Hubble constant and inferences from CMB and galaxy clustering data, known as the 'Hubble tension', has motivated numerous models introducing additional components active before recombination. While many such models have been proposed, none are currently strongly favoured by data. This highlights the critical role of upcoming CMB experiments, which aim to achieve higher precision in measuring small-scale acoustic peaks and polarization signals, in detecting or constraining deviations from $\Lambda$CDM.
We present a phenomenological parameterization based on the generalized dark matter framework and specifically tailored for Simons Observatory. We show that this model is able to reproduce a wide range of theoretical models and forecast how well Simons Observatory will be able to constrain it.
When applied to Planck data, we find good consistency with the
$\Lambda$CDM model, but the data also allows for a large Hubble parameter, especially if the sound speed of the additional component is not too different to that of radiation. This approach offers a flexible and general framework to interpret data from upcoming CMB experiments, providing valuable insights into potential resolutions of the Hubble tension.Speaker: Raphael Kou (University of Sussex) -
16:30
Relativistic effects in galaxy clustering with DESI 20m
Understanding the accelerated expansion of the Universe remains as one of the key challenges in cosmology. The main candidates to explain this observation, which do not rely on a cosmological constant, are dark energy and modifications of General Relativity, but they require robust tests on cosmological scales. The Dark Energy Spectroscopic Instrument offers unprecedented precision in measuring galaxy clustering from spectroscopic data, allowing for the detection of relativistic features beyond the standard redshift-space distortions. In particular, relativistic effects generate a dipole in the cross-power spectrum of two galaxy populations. Using mock catalogues of synthetic galaxies which mimic the DESI Bright Galaxy Survey (BGS), we analyse ways to amplify the relativistic dipole by separating these galaxies into bright and faint populations, while conserving their redshift distribution. We also examine techniques to accurately estimate the magnification bias, a key parameter entering the amplitude of the dipole signal. Our results indicate an improved detectability of the relativistic dipole with fewer bright sources and that the measured distortions are well described by the predictions of linear theory.
Speaker: Jade Piat (University of Edinburgh) -
16:50
Fast Generation of Weak Lensing Maps in Modified Gravity with COLA 20m
Accurate predictions of weak lensing observables are essential for understanding the large-scale structure of the Universe and probing the nature of gravity. In this talk, I will present a lightcone implementation to generate maps of the weak lensing convergence field using the COmoving Lagrangian Acceleration (COLA) method. The lightcone is constructed in spherical shells from the source to the observer following an onion representation of the Universe.
We validate the COLA-generated maps in General Relativity by comparing five statistics - the power spectrum, bispectrum, probability distribution function, peak counts, and Minkowski functionals - to the high-resolution $N$-body simulations presented in Takahashi $et\ al.$ (2017). These validation tests provide a baseline for the map specifications required for COLA to capture the statistical features of the $N$-body maps. Using these map specifications, we extend our analyses to two theories of Modified Gravity, demonstrating their imprints on the five convergence statistics considered. This work represents a step towards precise weak lensing predictions under both General Relativity and Modified Gravity with reduced computational cost, providing a robust framework to explore the nature of gravity with field-level inference.
Speaker: Sophie Hoyland (Institute of Cosmology and Gravitation, University of Portsmouth)
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Plenary talks: Thomas van Riet (How large are extra dimensions if they would exist?) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Antonio Padilla-
09:00
How large are extra dimensions if they would exist? 1h
Abstract: I discuss in a (hopefully) pedagogical manner the possibility of extra dimensions of space and the constraints on their sizes and detection. In particular we will distinguish between rigid and non-rigid extra dimensions, depending on how easily the extra dimensions can fluctuate. Without going to full-fledged string- or M-theory we can already deduce such properties using 1) entropy bounds, 2) energy conditions in relativity and 3) (more speculatively) the requirement that quantum gravity effects take place at black hole horizons. Throughout the talk I will highlight aspects of the so-called Swampland Program as a paradigm for addressing questions regarding the UV completion of quantum gravity.
Speaker: Thomas Van Riet (Leuven U.)
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Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Antonio Padilla-
10:00
Primordial Black Hole Formation for Scalar Field - Perfect Fluid Dominated Systems with Full General Relativity: The Case of a Scalar Field Dominated Universe 20m
In this work, we introduce a numerical code that solves the Misner-Sharp formalism for a spherically symmetric cosmological model containing both a scalar field and a perfect fluid. While the code is capable of exploring general scenarios involving an uncoupled scalar field and perfect fluid, our current research focuses on the regime where the scalar field dominates the dynamics. As an initial application, we investigate a post-inflationary scalar field-dominated scenario, in which the universe is governed by a rapidly oscillating scalar field for an extended period. We analyse the threshold for PBH formation under quadratic and quartic potentials, considering perturbations that are initially on superhorizon scales. Our results confirm that a quartic potential behaves analogously to a radiation-dominated universe, resulting in a PBH formation threshold close to the well-established value in radiation backgrounds. Conversely, in the quadratic potential case, we observe a significant deviation from dust-like behaviour, where wave-like effects counteract gravitational collapse. While numerical limitations prevent us from evolving a wide range of initial conditions to determine a precise threshold for PBH formation, our findings suggest that PBH formation may be suppressed in this scenario, potentially allowing the formation of stable solitonic structures instead. This study highlights the importance of properly accounting for wave dynamics in oscillating scalar fields when determining PBH formation criteria.
Speaker: Ethan Milligan (QMUL)
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Coffee 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
10:50
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12:10
Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Oliver Gould-
10:50
A Bright Future? Prospects for Cosmological Tests of GR with Multimessenger Gravitational Wave Events 20m
Further bright sirens -- gravitational wave events with electromagnetic counterparts -- are keenly awaited, but proving elusive. The exceptional event GW170817 had a profound impact on the landscape of viable cosmological extensions of General Relativity (GR); can we expect this kind of shift to be repeated in the next decade? In this work we will assess the potential constraints from bright sirens in the LIGO--Virgo--KAGRA O5 era and third generation detector era. We set up the statistical formalism for our constraints, and generate and analyse simulated data in the context of general scalar-tensor theories. We highlight the important role that gamma-ray burst detection has in breaking key parameter degeneracies. We find that the next ten bright sirens alone will not competitively constrain cosmological gravity, but that one year of third generation observations could confidently detect mild departures from GR, e.g. the Horndeski parameter $\alpha_{\rm M}\neq 0$ is detected at greater than $3\sigma$. This justifies investment in a broad range of methods for gravitational wave cosmology (dark sirens, bright sirens and cross-correlation with large-scale structure) to ensure tests of cosmological gravity advance in both the short-term and the long-term.
Speaker: Elena Colangeli (ICG - University of Portsmouth) -
11:10
Kinematic Anisotropies in the SGWB: detection from PTA-Astrometry synergies 20m
Recent Pulsar Timing Array (PTA) observations provide strong evidence for a stochastic gravitational wave background (SGWB), potentially originating from astrophysical sources or early universe phenomena. If the SGWB is cosmological, our relative motion with respect to the SGWB rest frame induces a kinematic anisotropy, which could dominate over intrinsic anisotropies, similar to the cosmic microwave background dipole. We studied PTA sensitivity to this dipole and forecasted its detectability with future experiments like SKA. Additionally, astrometry is a complementary method to PTA observations, and by cross-correlating astrometric and PTA data, constraints on SGWB properties can be improved, aiding in determining its origin.
Speaker: Nayeli Marisol Jimenez Cruz (Swansea University) -
11:30
Synergies of LISA and ET 20m
LISA and ET will operate in different frequency ranges but with comparable integrated sensitivities to a stochastic GW background (SGWB). We explore their synergies in detecting cosmological SGWBs with large amplitudes and broad frequency spectra, arising from sources such as cosmological phase transitions, cosmic strings, and primordial inflation. By combining measurements from both detectors, we can more effectively characterize the GW spectrum across different frequency scales.
Speaker: Alisha Marriott-Best (Swansea University) -
11:50
Thermal nucleation in perturbation theory 20m
Cosmological first-order phase transitions may have generated an observable gravitational wave background, offering a unique probe of beyond-Standard-Model physics. A crucial step in predicting this background is the reliable computation of bubble nucleation rates. In this talk, I will give an overview of recent advancements in perturbative high-temperature nucleation rate calculations. These include the application of effective field theory, which enhances our understanding of the equilibrium part of the computation, and the use of Boltzmann equations to account for the off-equilibrium effects of the primordial plasma onto nucleation. I will also discuss some open challenges that remain in perturbative approaches, paving the way for future developments.
Speaker: Joonas Hirvonen (University of Nottingham)
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Lunch 1h 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
13:40
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14:40
Plenary talks: Will Percival (Measuring the Universe with DESI) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Clare Burrage-
13:40
Measuring the Universe with DESI 1h
The Dark Energy Spectroscopic Instrument (DESI) is the first of a new generation of Dark Energy experiments, and probes evolution in the universe using galaxy clustering. Within the galaxy clustering signal, the projected location of the Baryon Acoustic Oscillations (BAO) acts as a standard ruler to map cosmic evolution. I will present the latest BAO results from the DESI Data Release 2 (DR2) sample, which contains 3 years of data, and their impact on our understanding of dark energy and neutrino masses. I will explain some of the difficulties in expanding this work to model the full clustering signal, and the work underway to provide more robust results. I will then review how we can extend this work using voids, regions in the universe containing very few galaxies, which act as a standard volume rather than a standard ruler. Finally, I will consider how the amplitude of the BAO signal can help us measure the Hubble constant, potentially helping to solve the Hubble tension.
Speaker: Will Percival (University of Waterloo)
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UK cosmo discussion Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDTheoretical implications of the DESI results
Conveners: Ed Copeland (Nottingham University), Ivonne Zavala, Alessandra Silvestri, Will Percival (University of Waterloo), Chair: Clare Burrage-
14:40
Panel discussion on theoretical implications of the DESI results 40m
Panelists: Will Percival, Alessandra Silvestri, Ed Copeland, TBD
Chair: TBD
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Coffee 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
15:50
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17:10
Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Sergio Sevillano Munoz-
15:50
Gravitational Radiation and Charges on de Sitter 20m
We write a closed form expression for the metric perturbation around de Sitter that describes gravitational radiation from a compact and slowly varying source, in terms of a consistent multipolar expansion at quadrupolar order. We show that the corresponding displacement memory effect with both the even and odd parities is at a higher order in the radial expansion compared to their flat counter-parts. Using the form of the metric perturbation we obtained, we write expressions for SO(1,4) charges at future infinity that reduce to the correct expressions in the flat limit, which also includes a definition of mass that strictly decreases in the presence of gravitational radiation.
Speaker: Dr Emine Şeyma Kutluk (Scuola Normale Superiore) -
16:10
Cosmological correlators with massive spinning fields 20m
Primordial perturbations observed on the CMB are thought to come from cosmological correlators during inflation. While massive (spinning) fields lead to vanishing correlators, their interaction with massless ones can alter the massless field correlators. These changes can be used to infer existence of massive spinning fields during inflation. We will compare two main models of massive spinning fields during inflation, and discuss the similarities and differences of their cosmological signatures. A good part of the talk will also be dedicated to the accurate Feynman rules for computing these correlators, which have not been properly explored in the literature.
Speaker: Trevor Cheung (University of Nottingham) -
16:30
Multi-point propagator approach to inflationary correlators 20m
A key step in the comparison between inflationary predictions and cosmological observations resides in the computation of primordial correlators.
Numerical methods have been developed, which allow to overcome some of the difficulties arising in analytical calculations when the models considered are complex.
The \texttt{PyTransport} package, which implements the transport formalism, allows computation of the tree-level 2- and 3-point correlation functions for multi-field models, with arbitrary potentials and curved field space.
In this work we investigate an alternative numerical implementation of the transport approach, based on the use of transfer ``matrices'' called \textit{multi-point propagators} (MPP).
We test the novel MPP method, and extensively compare it with the traditional implementation of the transport approach provided in \texttt{PyTransport}.
We highlight advantages of the former, discussing its performance as a function of the number of sub-horizon e-folds of evolution and tolerance settings.
For topical ultra-slow-roll models of inflation we show that MPPs (i) precisely track the decay of correlators when \texttt{PyTransport} fails, (ii) extend the computation of squeezed bispectra for squeezing values at least one decade beyond those attainable with \texttt{PyTransport}.Speaker: Andrea Costantini (Queen Mary University of London) -
16:50
Constraining the interaction between dark matter and dark energy 20m
Although ΛCDM has been a successful cosmological model, there is a 5σ tension between $H_0$ values inferred from the cosmic microwave background (CMB) data by Planck and those measured directly by SH0ES. Apart from the Hubble tension, debates also extend to tensions on other cosmological parameters. Many alternative models are proposed to reconcile these tensions in cosmology. I will focus on a cosmological model featuring an interaction between dark matter and dark energy, where dark energy has a constant equation of state w=-1. Although the interaction remains minimal, it is favoured by a combined analysis of Planck CMB and DESI Baryon Acoustic Oscillation (BAO).
Speaker: Yuejia Zhai (University of Sheffield)
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Reception at Lakeside Arts 3h 50m Lakeside Arts Gallery
Lakeside Arts Gallery
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Plenary talks: Stephen Fairhurst (Deciphering Gravitational Wave Observations) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Stephen Green-
09:00
Deciphering Gravitational Wave Observations 1h
Gravitational Waves emitted by colliding black holes were detected for the first time by LIGO in 2015. The subsequent observation of merging neutron stars in 2017, and its electromagnetic counterpart signal, attracted the attention of the astronomy community worldwide. Over two hundred gravitational wave signals have been observed to date by the LIGO-Virgo-KAGRA network, with several new observations per week.
The properties of a binary system, such as the masses and spins of each black hole, the system’s orientation and location, are all encoded in different, subtle ways into the emitted gravitational waveform. In this talk, I will present an intuitive explanation of how the observed waveform can be used to extract the physical parameters of the system. I will focus on less commonly observed phenomena, such as higher gravitational wave multipoles, spin-induced orbital precession and binary eccentricity. I will discuss how these features can be observed and the new insights they provide on the properties of the system and the formation and evolution of individual binaries and populations.Speaker: Stephen Fairhurst
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Coffee break 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
10:30
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11:30
Plenary talks: Siong Heng (Things that go bump in the night: the search for gravitational-wave bursts) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Dr Stephen Green (University of Nottingham)-
10:30
Things that go bump in the night: the search for gravitational-wave bursts 1h
Gravitational-wave bursts are a class of transient gravitational-wave signals which have unknown or very difficult to model signal morphologies. Likely progenitors of gravitational-wave bursts include core-collapse supernovae, cosmic string cusps, pulsar glitches, and black hole encounters. By definition, gravitaitonal-wave bursts cover a broad parameter space which poses a significant challenge to gravitational-wave burst detection techniques. This talk will present an overview of various gravitational-wave burst signal progenitors. Gravitational-wave burst search techniques, including recent machine learning applciations, will also be described. The impact of these searches on our understanding of the transient gravitational wave universe will be discussed.
Speaker: Siong Heng (University of Glasgow)
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Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Dr Stephen Green (University of Nottingham)-
11:30
New understandings of black hole mergers 20m
Historically, studies of the merger stage of a black hole binary have centred on fully nonlinear numerical relativity simulations. However, nonlinear black hole perturbation theory provides powerful insights into the ringdown regime immediately following merger, and perturbative self-force theory has proved highly accurate in describing asymmetric binary inspirals even for mass ratios not too far from 1. Here I present a self-force framework for perturbatively modelling the full binary evolution through merger and ringdown, highlighting the synergies with ringdown calculations.
Speaker: Prof. Adam Pound (University of Southampton) -
11:50
Self-force-based merger-ringdown waveforms in scalar-tensor theories of gravity 20m
Gravitational self-force theory (GSF) has proved to be a viable method of solving the general relativistic 2-body problem for asymmetric binaries, with state-of-the-art GSF inspiral waveforms now exhibiting minimal phase error across all mass ratios smaller than ~1/10. Recent work has extended these GSF inspiral waveforms to include beyond-GR effects in a broad class of scalar-tensor theories. At the same time, GSF inspiral models have now also been extended to include the final merger and ringdown. In this talk we tie together these two themes by calculating first-principles GSF merger-ringdown waveforms in scalar-tensor gravity.
Speaker: Mr Ayush Roy (University of Southampton)
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Lunch 1h 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
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15:40
Plenary talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Thomas Sotiriou-
13:40
When gravity waves 1h
The recent gravitational wave observations of the collision of black holes and neutron stars have allowed us to pierce into the extreme gravity regime, where the gravitational interaction is simultaneously unfathomably large and wildly dynamical. These gravitational waves encode a trove of information about physics that is prime for the taking, including potential revelations about the validity of Einstein's theory and constraints of possible deviations. In this talk, I will describe some of the physics inferences we have made from gravitational wave observations, and the future inferences that will come next.
Speaker: Prof. Nicolas Yunes -
14:40
Towards multi-messenger observations of supermassive black hole binaries 1h
Supermassive black hole binaries (SMBHBs) are exceptional multi-messenger sources, since they emit bright electromagnetic (EM) radiation and low-frequency gravitational waves (GWs). On the EM side, SMBHB can be detected as quasars with periodic variability in time-domain surveys. Several promising candidates have already been identified and many more discoveries are expected with the Rubin Observatory, which will begin operations in the next months. On the GW side, binaries can be detected by pulsar timing arrays (PTAs). Recently, all major PTA collaborations have found evidence for the GW background, which likely consists of many unresolved binaries. The detection of individually resolved binaries on top of this background is expected soon. In this talk, I will discuss the status of observational searches of binaries and expectations for the Rubin era, the recent discovery of the GW background and its astrophysical interpretation. Finally, I will present prospects for detecting individual sources and combining PTA data with EM data to bring the first multi-messenger detection of a SMBHB within reach.
Speaker: Maria Charisi (Columbia University)
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Coffee 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
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16:50
Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Miguel Bezares-
16:10
Signatures from metastable oppositely-charged black hole binaries 20m
In this talk, I will present recent developments aimed at simulating black hole binaries beyond general relativity in Spectre, an open-source numerical relativity code by the SXS Collaboration. For concreteness, I will focus on scalar Gauss-Bonnet (sGB) gravity. I describe results derived from a parameter space exploration of a model of sGB gravity using initial data sequences of equal-mass black hole binaries in quasistationary equilibrium. Leveraging the strengths of two numerical relativity evolution codes, we find potential tell-tale signatures for such binaries near the scalarization threshold.
Speaker: Guillermo Lara (Max Planck Institute for Gravitational Physics (Albert Einstein Institute)) -
16:30
Black hole ringdown beyond General Relativity 20m
Black hole quasi-normal modes (QNMs) provide a powerful probe of deviations from General Relativity. We analyze the relative contributions of shifts in the QNM spectrum of Kerr black holes and the presence of additional modes sourced by extra fields in a theory-agnostic framework. By exploring different regimes, we identify when each effect dominates and propose suitable ansätze for the corresponding waveforms.
Speaker: Giovanni D'Addario (University of Nottingham)
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17:30
Flash talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Miguel Bezares-
16:50
Post-Newtonian gravitational waveforms in scalar-tensor theories: elliptic and hyperbolic orbits 2m
In this talk, I will precent recent work on gravitational waves generated by compact binaires in a class of scalar tensor theories within the post-Newtonian (PN) approximation. I will briefly review the waveform generation formalism in these theories and waveforms for circular orbits. I will then discuss recent work on extending these waveforms to elliptic and hyperbolic orbits. I will first discuss how to construct the 2PN-accurate quasi-Keplerian parametrization, which explicitly solves the equations of motion at that order, both in the elliptic and hyperbolic case. In the case of elliptic orbits, I will detail how I obtained the amplitude at subleading post-Newtonian order and the fluxes of energy and angular momentum at 1.5PN (i.e. 2.5PN beyond the leading dipolar radiation), which finally lead to the secular evolution of the orbital elements at the corresponding order. I will in particular discuss subtleties in the treatment of hereditary terms (such as the tails, the memory and center-of-mass frame issues). Finally, I will discuss ongoing work concerning gravitational radiation for hyperbolic encounters, which leads to the completion of the dissipative contributions to the 3PN scattering angle.
Speaker: David Trestini (University of Southampton) -
16:52
Outlook for the detection of higher gravitational wave memory effects 2m
Gravitational wave memory is a non-oscillatory feature of gravitational wave signals which both probes nonlinearities appearing in Einstein's equations and is connected to the asymptotic structure of isolated gravitating systems. In recent years, in addition to the usual "displacement" memory, which appears as a DC offset in the gravitational wave signal, other "higher" memory effects have been proposed, such as the spin and center-of-mass memories. While none of these effects are large enough to be confidently observed in single events with current ground-based detectors, evidence for these effects can be inferred in a population by combining data from multiple events. In this talk, we will review past forecasts of the detectability of displacement and spin memories, which were expected to be dominant, as well as discuss the detectability of the center-of-mass memory and two other higher memory effects.
Speaker: Alexander Grant (University of Southampton) -
16:54
Simulating neutron stars with dissipative hydrodynamics 2m
In this talk, I will discuss our work in modelling neutron stars using the recently developed formulation for relativistic dissipative hydrodynamics, known as the BDNK theory. By performing numerical simulations of neutron stars in spherically symmetric spacetimes, we will study how incorporating dissipation using the BDNK theory affects the physical predictions of the system.
Speaker: Lik Hang Harry Shum (University of Nottingham) -
16:56
Probing Graviton Mass Through Strong Lensed Gravitational Waves with Next-Generation Detectors 2m
Gravitational-wave (GW) astronomy is an established field that is rapidly expanding with increasing detections from merging compact binary systems. The next generation of GW detectors promises a tenfold increase in sensitivity, leading to a thousandfold increase in the observable volume of the Universe and a corresponding rise in detection rates. This growing dataset provides a unique opportunity to investigate fundamental aspects of physics, including probing the properties of gravitons through the study of strongly lensed gravitational waves.
In this work, we explore constraints on the mass of the graviton by analyzing strongly lensed GW signals from typical binary black hole mergers, using different gravitational lens models. Specifically, we use the point mass model for black holes and the singular isothermal sphere (SIS) model for galaxies to determine limits on the graviton mass. Additionally, we simulate the detector response for both next-generation ground-based GW detectors (e.g., Einstein Telescope) and space-based detectors (e.g., LISA) to further assess the capabilities of future observations. We evaluate the potential of future GW observations to provide meaningful constraints on the graviton mass, offering new insights into the nature of gravity at cosmic scales.
Speaker: Shuaibo Geng (National Center for Nuclear Research) -
16:58
Penrose and super-Penrose energy extraction from a Reissner-Nordström black hole spacetime with a cosmological constant through the Bañados-Silk-West mechanism 2m
The Penrose process consists of transferring energy from a black hole to infinity. This process can be studied in a combined description with the Bañados-Silk-West (BSW) mechanism, which uses collisions of ingoing particles at the event horizon of a black hole to locally produce large amounts of energy. In this talk, the blending of the Penrose process with BSW mechanism is described for a $d$ dimensional extremal Reissner-Nordström black hole spacetime with negative, zero, or positive cosmological constant, i.e., for an asymptotically anti-de Sitter (AdS), flat, or de Sitter (dS) spacetime. In an extremal Reissner-Nordström black hole background, in the vicinity of the horizon, several types of radial collisions between electrically charged particles can be considered. The most interesting one is between a critical particle, with its electric charge adjusted in a specific way, and a usual particle. This gives a divergent center of mass frame energy locally, which is a favorable but not sufficient condition to extract energy from the black hole. To find if energy can be extracted in such a collisional Penrose process, one must consider a collision in general between ingoing particles 1 and 2, from which particles 3 and 4 emerge, with the possibility that particle 3 can carry energy far out from the black hole horizon. One finds that the mass, energy, electric charge, and initial direction of motion of particle 3 can have different values, depending on the collision internal process. However, the different possible values lie within some range. Moreover, the energy of particle 3 can, in some cases, be arbitrarily high but not infinite, which characterizes a super-Penrose process. It is also shown that particle 4 has negative energy, as required in a Penrose process. For zero cosmological constant the results do not depend on the number of dimensions, but they do for nonzero cosmological constant, which also introduces differences in the lower bound for the energy extracted.
Speaker: Duarte Feiteira (Department of Physics, University of Helsinki) -
17:00
Screening mechanisms in scalar-tensor theories from a particle perspective 2m
Scalar-tensor theories are a popular extension of gravity where an extra scalar degree of freedom non-minimally couples to the gravitational sector. Despite existing experimental tests for such modifications from general relativity, there is still no conclusive evidence for or against these theories. A possible reason for this is the presence of screening mechanisms, which can hide the scalar field’s effects (such as long-range forces) in high-density environments. In this talk, I will use field theory to demonstrate that screening mechanisms can also be expressed as Beyond Standard Model physics. This perspective reveals possible phenomenological implications that don't rely on new long-range forces. In particular, I will focus on how screening mechanisms can lead to spatially dependent masses for elementary particles in the Standard Model.
Speaker: Sergio Sevillano (Durham University) -
17:02
Extremal Black Branes from the Near-Horizon 2m
In this talk, I will present the Kaluza-Klein spectrum of background perturbations to Freund-Rubin compactifications, which are the near-horizon geometry of a class of extremal black branes. The purpose of this is twofold.
The effective masses of fields in the near-horizon geometry determine the scaling exponents of (tidal) deformations to extremal black branes, so the spectrum characterises the horizon of certain extremal black branes which are continuously connected to the undeformed geometry. A large class turns out to be non-smooth or singular, generalising a recent result for extremal black holes.
We also argue that the severity of the Aretakis instability of black branes is determined by the scaling dimensions of the perturbations on the Anti-de Sitter factor in the near-horizon geometry. Our results therefore show that extremal black branes suffer from an Aretakis instability even in the absence of additional fields --- in some cases, the dominant mode itself is non-decaying.
Speaker: Calvin Chen (National Taiwan University) -
17:04
Gravitational Fixed Point for a Standard Model like Theory 2m
Quantum field theories on curved space have a diverging effective action that depends purely on the polynomials of the curvature tensor. One needs to add higher derivative terms in the bare gravitational action to renormalize these divergences. In this setting it becomes reasonable to calculate how the gravitational couplings run with the cut-off scale. It turns out that for a Standard Model like theory with 12 gauge bosons and 48 Weyl fermions all the gravitational beta functions precisely vanish! The caveat is that one also needs to include 36 Fradkin-Tseytlin like scalars that have a fourth derivative action. However, these scalars have logarithmic propagators that can be used to explain primordial perturbations in the early universe.
Speaker: Vatsalya Vaibhav (University of Edinburgh) -
17:06
Quasinormal modes in semi-open systems 2mSpeaker: Leonardo Solidoro (University of Nottingham)
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17:08
Fix the Frame, Resolve the Memory: the Bondi--Sachs gauge in Black Hole Perturbation Theory 2m
Understanding gauge and frame dependence is crucial for comparing black hole perturbation theory results at future null infinity. At second order, new challenges arise: gauge-invariant quantities in linear theory lose their invariance, and the nonlinear source terms can lead to infrared divergences. We address these issues by constructing an invariant second-order field equation in the perturbative Bondi–Sachs gauge, which naturally describes gravitational waves at null infinity. Our framework provides a systematic way to transform from any gauge to Bondi–Sachs and fix the BMS frame (the symmetry group of future null infinity and the Bondi--Sachs gauge). Our formalism could resolve tensions between second-order self-force and post-Newtonian results and help align ringdown calculations with numerical relativity waveforms.
Speaker: Andrew Spiers (University of Nottingham) -
17:10
A new look at multi-gravity and dimensional deconstruction 2m
It has long been understood that certain theories of ghost free massive gravity and their multi-graviton extensions can be thought of as arising from a higher dimensional theory of gravity, upon discretising the extra dimension. However, this correspondence between standard multi-gravity and extra dimensional gravity holds only when one discretises the extra dimension after gauge fixing the lapse function associated to the various lower dimensional hypersurfaces. The lapse provides crucial structure to the extra dimensional theory: in pure general relativity (GR), it ensures full diffeomorphism invariance of the theory, and enforces its Hamiltonian constraint. Thus, upon deconstruction, important information related to the extra dimension is missing in the resulting multi-gravity theory; as a result, one could never hope to recover higher dimensional GR in its entirety upon taking the appropriate continuum limit. In this talk, I develop an improved deconstruction procedure that maintains the free lapse, and show that the correct deconstructed theory should actually be multi-gravity equipped with additional dynamical scalar fields, whose field equations encode the Hamiltonian constraint in the extra dimensional theory; I use the example of Randall-Sundrum brane cosmology to demonstrate this correspondence explicitly. This opens up a number of interesting avenues for studies of new and potentially viable theories of modified gravity, as well as providing a means by which one may begin to rephrase questions more typically asked in the context of extra dimensions in a purely 4-dimensional language.
Speaker: Kieran Wood (University Of Nottingham) -
17:12
Probing Gravity Through Light Bending 2m
The gravitational deflection of light is a key phenomenon for testing gravitational theories. Recently, a novel method was introduced to compute the angular deflection in non-asymptotically flat spacetimes, based on the construction of null geodesic polygons. Building on this approach, we apply this technique to analyze the angular difference in null geodesic triangles, providing a systematic way to extend the definition of the deflection angle.
In this talk, we explore this method in detail and demonstrate its application in different gravitational models, including Schwarzschild-de Sitter, Einsteinian Cubic Gravity and a spherically symmetric, static Horndeski spacetime. Our results highlight how this framework allows us to obtain the specific contributions of these gravity models, distinguishing them from General Relativity.Speaker: Mr Flavio Sanchez (Swansea University)
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Plenary talks: Ruth Gregory Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Jorma Louko-
09:00
Towards a "Quantum Black Hole" Simulator 1h
Horizons can occur in a wide range of physical situations, many of which we can construct in the lab, leading to the field of Analog Gravity. Most gravity simulators observe features, like super-radiance, that are analysed as a continuum effect in gravity, whereas many interesting "beyond GR" features theorise about the impact of quantised aspects of the black hole.
In this talk, I will discuss recent experimental work on a liquid helium giant vortex that naturally has quantisation, and how we hope to build a quantised analog black hole that can start to explore "black hole" phenomena in a much broader context.Speaker: Ruth Gregory
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Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Jorma Louko-
10:00
Simulating curved spacetimes in superfluid helium 20m
I will present a newly established, Nottingham-based experimental platform for simulating rotating curved spacetimes in superfluid helium - a quantum liquid with vanishing viscosity. The effective curved spacetime, induced by the most extensive quantum vortex flows ever created, is probed via micrometre-scale surface waves. These reveal intricate wave-vortex interactions, including the occurrence of bound states and black-hole ringdown signals. Through black-hole spectroscopy, we link these signals with the inherent presence of boundaries in our experiment, highlighting the versatility of quantum liquids for testing spectral stability and simulating both rotating curved spacetimes and their astrophysical environments.
Speaker: Patrik Svancara (University of Nottingham)
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10:00
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Coffee 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
10:50
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11:50
Plenary talks: David Marsh (Axion phenomenology from string theory to the lab) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD-
10:50
Axion phenomenology from string theory to the lab 1h
Axions are a hypothetical class of particle predicted in a variety of settings and of utility in solving many mysteries of theoretical physics, most notably as dark matter candidates and solving the strong CP problem. I will describe recent dramatic progress in understanding what string theory predicts about the properties of axions, and the door this opens to test quantum gravity. I will thus describe the cosmology of axions, how they differ from other dark matter candidates, and how we might discover evidence for them in astrophysics. I will then describe why, and by what technology, so many axion experiments are being built around the world. I will end by discussing the recent measurement, for the first time, of axion quasiparticles in magnetic topological insulators the laboratory.
Speaker: David Marsh (King's College London)
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Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD-
11:50
Waveform systematic bias in the ringdown analysis with LISA 20m
The inaccurate modeling of the gravitational wave templates that are used for analysing gravitational wave signals can lead to a systematic bias in the parameter estimation. This inaccuracy can be related to the lack of terms in the waveform coming from fundamental physics or astrophysical environments or to some truncation in perturbation theory. This issue is going to be more relevant for upcoming detectors, given the large signal-to-noise ratios that they will be able to reach. In this work, we focus on LISA and compute the bias arising from an incomplete description of the ringdown waveform, due to the exclusion of some modes. We first study the hierarchy of the modes for different events and then compare a template including 12 modes to incomplete templates with N<12 modes. We define the minimum N needed for having an unbiased parameter estimation and discuss how this quantity varies across the parameter space.
Speaker: Lodovico Capuano (Scuola Internazionale Superiore di Studi Avanzati)
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Lunch 1h 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
13:40
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15:40
Plenary talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RDConvener: Chair: Andrew Spiers-
13:40
Quasi-normal modes on black hole horizons 1h
The gravitational waves emitted by a perturbed black hole ringing down are well
described by damped sinusoids, whose frequencies are the so-called quasinormal
modes. Until recently first-order black hole perturbation theory was used to calculate
these frequencies. However, it is now clear that second-order effects are also
necessary to model the gravitational-wave signal during the ringdown.
In this talk, I will show that (1) the horizon of a newly formed black hole after the head-on collision of two black holes in numerical simulations also shows evidence of non-linear modes, (2) discuss recent results on second-order black hole perturbation theory with the goal to ultimately compare this with the non-linear results.Speaker: Béatrice Bonga (Radboud University) -
14:40
Observational signatures for extremal black holes 1h
We will discuss the black hole stability problem and discuss results on asymptotics of linear waves. We will present results for extremal and sub-extremal black holes.
Speaker: Stefanos Aretakis (University of Toronto)
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Coffee 30m Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD -
16:10
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17:10
Plenary talks: Luis Lehner (The non-linear side of gravity and imprints on gravitational waves) Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD-
16:10
The non-linear side of gravity and imprints on gravitational waves 1h
The merger of compact objects offer the opportunity to explore and put General Relativity to test. This talk will discuss particular examples and connect them with broader aspects from observations to other research fronts in physics.
Speaker: Luis Lehner
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16:10
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Contributed talks Keighton Auditorium
Keighton Auditorium
University of Nottingham
University Park Campus Nottingham NG7 2RD-
17:10
Singularity Resolution of Quantum Black Holes in (A)dS 20m
Black holes serve as key testing grounds for quantum gravity due to their singular nature and have been extensively studied in various quantum gravity approaches. In this talk, I apply the Henneaux-Teitelboim formulation of unimodular gravity to the symmetry-reduced Schwarzschild-(Anti-)de Sitter model. We perform a canonical quantization, leading to a Wheeler-DeWitt equation that takes the form of a Schrödinger equation in unimodular time. By enforcing unitary evolution in this time coordinate, we naturally treat the cosmological constant as an observable. We find a family of quantum theories in each of which the classical singularity is resolved, and we derive an analytical expression for the quantum-corrected Schwarzschild-(Anti-)de Sitter metric. Furthermore, we show that each quantum theory permits only semi-classical states corresponding to either positive, negative, or zero-mass black holes. Therefor we avoid problems that would otherwise occur in singularity free theories with arbitrarily large negative energy states.
Speaker: Sofie Ried (Univesity of Sheffield) -
17:30
The 3+1 formalism in torsion and nonmetricity-based theories of gravity 20m
We present recent advancements in the 3+1 formalism within two reformulations of general relativity: the teleparallel equivalent of general relativity, and the symmetric teleparallel equivalent of general relativity. Both theories are based on the torsion and nonmetricity of a flat connection, respectively, and their Lagrangians are expressed in terms of the torsion scalar T and the nonmetricity scalar Q. These differ from the Ricci scalar R of general relativity by boundary terms. The bulk equations of motion in these theories are equivalent to those of Einstein's gravity; however, the fundamental fields comprehend not only the tetrad or the metric but also gauge degrees of freedom encoded in the connection. This inclusion can alter the canonical structure and the gauge sector of the 3+1 evolution. We investigate Hamilton's equations of these reformulations of general relativity to facilitate future research on the strong hyperbolicity of the dynamical equations, and to explore novel reformulations of the numerical relativity framework.
Speaker: Maria Jose Guzman (University of Tartu, Estonia)
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Lab tours Physics building
Physics building
University of Nottingham
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