Dynamics of perfect fluid cosmological model in the presence of massive scalar field in f ( R , T ) $f(R,T)$ gravity

Abstract

In this paper, we are interested to investigate spatially homogeneous and totally anisotropic perfect cosmological model in the presence of an attractive massive scalar field in $f(R,T)$ gravity in the background of Bianchi type- $\mathit{III}$ space-time. Here $R$ is the Ricci scalar and $T$ is the trace of the energy momentum tensor. In order to solve the field equations, we have used (i) the expansion scalar of the space-time is proportional to the shear scalar which leads to a relationship between metric potentials and (ii) a power law between the scalar field and the average scale factor. We obtain a cosmological model of the universe with variable deceleration parameter. We have computed all the cosmological parameters of the model and discussed their physical importance.