Invariant Bianchi type I models in $f\left(R,T\right)$ Gravity

Abstract

In this paper, we search the existence of invariant solutions of Bianchi type I space-time in the context of $f\left(R,T\right)$ gravity. 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 favour the big bang singularity. Under this specification, we find out at set of singular and non singular solution of Bianchi type I model which present several other physically valid features within the framework of $f\left(R,T\right)$.

14 Pages, 2 Figure panels, Textual changes and 01 reference added

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• Transitioning scenario of Bianchi-I universe within $f\left(R,T\right)$ formalism
• The simplest parametrization of equation of state parameter in the scalar field Universe
• Singularity-free nonexotic compact star in $f(R,T)$ gravity
• Accelerating model of flat universe in $f(R,T)$ gravity
• Reexamining RHDE Models in FRW Universe with two IR cut-off with redshift parametrization