Invariant Bianchi type i models in f (R, T) gravity

Abstract

In this paper, we search the existence of invariant solutions of Bianchi type I space-time in the context of f(R,T) gravity with special case f(R,T) = R + 2f(T). The exact solution of the Einstein's field equations are derived by using Lie point symmetry analysis method that yield two models of invariant universe for symmetries X(1) and X(3). The model with symmetries X(1) begins with big bang singularity while the model with symmetries X(3) does not favor the big bang singularity. Under this specification, we find out at set of singular and nonsingular solution of Bianchi type I model which present several other physically valid features within the framework of f(R,T) gravity.