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

Abstract

This manuscript is devoted to investigating a Bianchi type I universe in the context of f(R) gravity. For this purpose, we explore the exact solutions of locally rotationally symmetric Bianchi type I space–time in the metric version of f(R) gravity. The modified field equations are solved by assuming the expansion scalar θ to be proportional to the shear scalar σ, which gives A = Bn, where A and B are the metric coefficients, and n is an arbitrary constant. In particular, three solutions have been found and corresponding Killing symmetries are calculated in each case.