Geometric Foundations of Gravity 2025

Session

Tuesday Parallel 3 - A106

1 Jul 2025, 15:40

A106 (University of Tartu, Physicum)

48. Teleparallel gravity from the principal bundle viewpoint

Sebastian Brezina (Comenius University in Bratislava)

01/07/2025, 15:40

Contributed talks

Talk

Since General Relativity is a classical gauge gravitational theory of diffeomorphisms, a natural question arises: does the same hold for TEGR?
In this talk, we explore the gauge structure of TEGR from the perspective of principal bundles. We also focus on the popular claim that TEGR can be viewed as a gauge theory of translations. It is explained that the standard way of approaching this...

63. The classification of general affine connections in Galilei geometry: towards metric-affine Newton–Cartan gravity

Philip Schwartz (Leibniz Universität Hannover, Institut für Theoretische Physik)

01/07/2025, 16:05

Contributed talks

Talk

Galilei geometry, which may be obtained as a degenerate limit of Lorentzian geometry, allows for a coordinate-free formulation of Newtonian gravity, called Newton–Cartan gravity. This enables a geometric understanding of the Newtonian $c\to\infty$ limit of standard general relativity (GR). Recently, analogous geometric descriptions of the Newtonian limits of the (metric) teleparallel...

10. A Directive for deriving (Algebraically) General Solutions of Einstein’s Equations based on the Canonical Killing Tensor Forms

Dionysios Kokkinos (Hellenic Mediterranean University)

01/07/2025, 16:30

Contributed talks

Talk

This work serves as a sequel to our previous study, where, by assuming the existence of the canonical Killing tensor forms and applying a general null tetrad transformation, we obtained a variety of solutions (Petrov types D, III, N) in vacuum with cosmological constant $\Lambda$. Among those, there is a unique Petrov type D solution with a shear-free, diverging and non-geodesic null...

28. The Maldacena-Shenker-Stanford Conjecture in General Relativity and beyond

Sara Cesare (Scuola Superiore Meridionale)

01/07/2025, 16:55

Contributed talks

Talk

The Maldacena-Shenker-Stanford (MSS) conjecture establishes the existence of an upper bound to the Lyapunov exponent of a thermal quantum system with a large number of degrees of freedom.
Holographic calculations of out-of-time order correlation functions (OTOCs), which are conveniently employed as indicators of the magnitude of quantum chaos, motivate such a statement, leading to the...