Some Exact Bianchi Types Cosmological Models in f(R, T) Theory of Gravity

In this paper, we attempt to study spatially homogeneous Bianchi types-III, V, VI₀ $&$ VIₕ cosmological models in $f(R, T)$ theory of gravity. Here the models are obtained by assuming forms of the function $f(R, T)$ as $f(R, T)= R + 2f(T)$ and f(R, T) = f₁(R)+f₂(T). The exact solutions of Einstein's field equations (EFEs) have been obtained for two different types of physically viable cosmologies using a special form of Hubble parameter (HP). The physical and geometrical properties of these models have been discussed and expressions for the Ricci scalar R in each case are obtained.