Bianchi Type $I$ Cosmology in $f(R,T)$ Gravity

TL;DR

This paper derives exact solutions for Bianchi type I cosmology within $f(R,T)$ gravity, exploring two models with different physical behaviors, contributing to understanding anisotropic universe evolution in modified gravity theories.

Contribution

It presents the first exact solutions of Bianchi type I spacetime in $f(R,T)$ gravity using specific assumptions on deceleration and Hubble parameter variation.

Findings

Two exact cosmological models derived

Models exhibit different physical behaviors

Insights into anisotropic universe evolution

Abstract

This paper is devoted to investigate the exact solutions of Bianchi type $I$ spacetime in the context of $f(R,T)$ gravity [1], where $f(R,T)$ is an arbitrary function of Ricci scalar $R$ and trace of the energy momentum tensor $T$. For this purpose, we find two exact solutions using the assumption of constant deceleration parameter and variation law of Hubble parameter. The obtained solutions correspond to two different models of the universe. The physical behaviour of these models is also discussed.