Evaluation of cosmological models in $f(R, T)$ gravity in different dark energy scenario

TL;DR

This paper investigates dark energy scalar field models within $f(R, T)$ gravity in a flat FRW universe, using observational data to analyze cosmological parameters and scalar field potentials, finding results consistent with current cosmological observations.

Contribution

It introduces a novel approach to scalar field models in $f(R, T)$ gravity with a generalized dynamical cosmological term, fitting observational data and reconstructing scalar potentials.

Findings

Results align with recent cosmological observations.

Scalar field potentials exhibit periodic behavior.

Model successfully describes universe dynamics.

Abstract

In present paper, we search the existence of dark energy scalar field models within in $f(R, T)$ gravity theory established by Harko et al. (Phys. Rev. D 84, 024020, 2011) in a flat FRW universe. The correspondence between scalar field models have been examined by employing new generalized dynamical cosmological term $ \Lambda(t) $. In this regards, the best fit observational values of parameters from three distinct sets data are applied. To decide the solution to field equations, a scale factor $ a= \left(\sinh(\beta t)\right)^{1/n} $ has been considered, where $ \beta$ \& $n $ are constants. Here, we employ the recent ensues ($H_{0}=69.2$ and $q_{0}=-0.52)$ from (OHD+JLA) observation (Yu et al., Astrophys. J. 856, 3, 2018). Through the numerical estimation and graphical assessing of various cosmological parameters, it has been experienced that findings are comparable with kinematics and physical properties of universe and compatible with recent cosmological ensues. The dynamics and potentials of scalar fields are clarified in FRW scenario in the present model. Potentials reconstruction is highly reasonable and shows a periodic establishment and in agreement with latest observations.