Cosmic Transit and Anisotropic Models in f(R,T) Gravity

TL;DR

This paper constructs accelerating cosmological models within $f(R,T)$ gravity on an anisotropic Bianchi type-III universe, revealing that modifications influence dark energy dynamics but not the scale factor.

Contribution

It introduces a novel integration method to find exact solutions in $f(R,T)$ gravity for anisotropic models, analyzing cosmic transit behavior.

Findings

Cosmic transition from deceleration to acceleration is modeled.

Modification affects dark energy equation of state.

Scale factor remains unaffected by $f(R,T)$ modifications.

Abstract

Accelerating cosmological models are constructed in a modified gravity theory dubbed as $f(R,T)$ gravity at the backdrop of an anisotropic Bianchi type-III universe. $f(R,T)$ is a function of the Ricci scalar $R$ and the trace $T$ of the energy-momentum tensor and it replaces the Ricci scalar in the Einstein-Hilbert action of General Relativity. The models are constructed for two different ways of modification of the Einstein-Hilbert action. Exact solutions of the field equations are obtained by a novel method of integration. We have explored the behaviour of the cosmic transit from an decelerated phase of expansion to an accelerated phase to get the dynamical features of the universe. Within the formalism of the present work, it is found that, the modification of the Einstein-Hilbert action does not affect the scale factor. However the dynamics of the effective dark energy equation of state is significantly affected.