12–16 Dec 2022
IISER Mohali
Asia/Kolkata timezone

Dynamical analysis of k-essence cosmology in the light of Supernova Ia observations

16 Dec 2022, 14:00
1h
LHC Foyer (IISER Mohali)

LHC Foyer

IISER Mohali

Lecture Hall Complex, IISER Mohali, Sector 81, Knowledge city, SAS Nagar, Punjab, India
Poster Poster - 4

Speaker

Biswajit Jana (Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math)

Description

In this paper, we analyse the JLA data on Supernova observations in the context of $k-$essence dark energy model with Lagrangian $L=VF(X)$, with a constant potential $V$ and the dynamical term $X = (1/2)\nabla_{\mu}\phi\nabla_{\nu}\phi = \dot{\phi}^2/2$ for a homogeneous scalar field $\phi(t)$, in a flat FRW spacetime background. Scaling relations are used to extract temporal behaviour of different cosmological quantities and the form of the function $F(X)$ from the data. We explore how the parameters of the model, viz. value of the constant potential $V$ and a constant $C$ appearing in the emergent scaling relation, control the
dynamics of the model in the context of JLA data, by setting up and analysing an equivalent dynamical system described by a set of autonomous equations.

Session Astroparticle Physics and Cosmology

Authors

Prof. Abhijit Bandyopadhyay (Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math) Dr Anirban Chatterjee (Indian Institute of Technology, Kanpur) Biswajit Jana (Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math)

Presentation materials

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