Locally rotationally symmetric Bianchi type I cosmology in f(R, T) gravity

This manuscript is devoted to the investigation of the 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 an expansion scalar $$\theta $$ proportional to the 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.

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