Dynamical analysis of kessence cosmology in the light of Supernova Ia observations
Abstract
In this paper, we analyse the JLA data on Supernova observations in the context of k  essence dark energy model with Lagrangian L =V F (X ) , with a constant potential V and the dynamical term X =(1 /2 ) ∇_{μ}ϕ ∇_{ν}ϕ =ϕ^{˙ 2}/2 for a homogeneous scalar field ϕ (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.
 Publication:

European Physical Journal Plus
 Pub Date:
 April 2022
 DOI:
 10.1140/epjp/s1336002202747y
 arXiv:
 arXiv:2108.12186
 Bibcode:
 2022EPJP..137..518C
 Keywords:

 General Relativity and Quantum Cosmology
 EPrint:
 22 pages, 7 figures, 3 tables