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

Abstract

This manuscript is devoted to investigate Bianchi Type $I$ universe in the context of $f(R,T)$ gravity. For this purpose, we explore the exact solutions of locally rotationally symmetric Bianchi type $I$ spacetime. The modified field equations are solved by assuming expansion scalar $\theta$ proportional to shear scalar $\sigma$ which gives $A=B^n$, where $A,B$ are the metric coefficients and $n$ is an arbitrary constant. In particular, three solutions have been found and physical quantities are calculated in each case.

20 Pages, accepted for publication in EPJC

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• Reheating and particle creation in unimodular f(R, T) gravity
• Exploring the Cosmological Model in $f(R,T^{\varphi })$ Gravity with Observational Constraints
• LRS Bianchi I model with bulk viscosity in f(R,T) gravity
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• Cosmic evolution in the background of non-minimal coupling in $f(R,T,R_{\mu \nu }{T}^{\mu \nu })$ Gravity
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• Investigating the compatibility of exact solutions in Weyl-type $f(Q,T)$ gravity with observational data
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