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

An arusotropic 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(1) h(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 hang at t = 0. The physical behaviours of the model are discussed.