Transitioning scenario of Bianchi-I universe within $f\left(R,T\right)$ formalism

TL;DR

This paper explores a Bianchi-I universe model within $f(R,T)$ gravity, deriving exact solutions that describe a transition from early deceleration to current acceleration, consistent with observations.

Contribution

It introduces a specific $f(R,T)$ gravity model with functional forms leading to exact solutions showing universe transition behavior.

Findings

Model exhibits transition from deceleration to acceleration.

Energy conditions are validated and violated as per parameter choices.

Deceleration parameter aligns with recent observational data.

Abstract

In this paper, we report the existence of transitioning scenario of Bianchi type I universe in the context of $f\left(R,T\right)$ gravity with special case $f\left(R,T\right) = f_{1}(R) + f_{2}(R)f_{3}(T)$ and it's functional forms $f_{1}(R) = f_{2}(R) = R$ and $f_{3}(T) = \alpha T$ with $\alpha$ being constant. The exact solution of the Einstein's field equations are derived by using the generalized hybrid expansion law that yields the model of transitioning universe from early deceleration phase to current acceleration phase. Under this specification, we obtain the singular as well as non singular solution of Bianchi type I model depending upon the particular choice of the value of problem parameters. We also notice that the validation of weak energy condition and dominant energy condition and violation of strong energy condition occurs for these values of problem parameters. The deceleration parameter is found to be negative at present (z = 0) in the derived model which is supported by recent observations.