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 θ proportional to the shear scalar σ , which gives A=Bn , 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