Eur. Phys. J. Plus (2022) 137: 518
https://doi.org/10.1140/epjp/s13360-022-02747-y

Regular Article

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

¹ Indian Institute of Technology Kanpur, 208016, Kanpur, India
² Ramakrishna Mission Vivekananda Educational and Research Institute, Belur Math, 711202, Howrah, India

^a anirbanc@iitk.ac.in

Received: 12 January 2022
Accepted: 20 April 2022
Published online: 28 April 2022

Abstract

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 $X=(1/2){\mathrm{\nabla }}_{\mu }\varphi {\mathrm{\nabla }}_{\nu }\varphi ={\dot{\varphi }}^2/2$ for a homogeneous scalar field $\varphi (t)$, 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.