Bianchi Type-III Dark Energy Model in f(R,T) gravity with a variable Deceleration parameter

TL;DR

This paper explores a Bianchi Type-III dark energy cosmological model within f(R,T) gravity, employing a variable deceleration parameter to derive solutions consistent with recent observations.

Contribution

It introduces a new exact solution for Bianchi Type-III dark energy models in f(R,T) gravity using a variable deceleration parameter and specific assumptions about scalar expansion and shear.

Findings

Model aligns with recent cosmological data

Derived solutions exhibit accelerated expansion

Physical properties of the model are consistent with observations

Abstract

In this paper, we have investigated Bianchi Type-III Dark Energy Model in f(R,T) theory of gravity proposed by Harko et al. (Phys. Rev. D84 : 024020, 2011). To find a determinate solution of the field equations we have used (i) the fact that scalar expansion of the space-time is proportional to the shear scalar and (ii) a variable deceleration parameter given by Mishra et al. (Int. J. Theor. Phys. 52: 2546, 2013). Physical and kinematical properties of the model are also discussed. It is observed that our model is in agreement with the recent cosmological observations.