Anisotropic Bianchi-III cosmological model in f (R, T) gravity

Abstract

An anisotropic Bianchi type-III universe is investigated in the presence of a perfect fluid within the framework of $ f(R,T)$ gravity, where R is the Ricci scalar and T is the trace of the source of matter. Here we have considered the first two cases of the $ f(R,T)$ model, i.e. $ f(R,T)=R+2f(T)$ and $ f(R,T)=f_{1}(R)+f_{2}(T)$ . We have shown that the field equations of $ f(R,T)$ gravity are solvable for any arbitrary function of a scale factor. To get a physically realistic model of the universe, we have assumed a simple power-law form of a scale factor. The exact solutions of the field equations are obtained, which represent an expanding model of the universe which starts expanding with a big bang at $ t = 0$ . The physical behaviours of the model are discussed.