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

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.