Anisotropic Bianchi type VI0 Space-Time with Barotropic Fluid in Sáez - Ballester Theory of Gravitation

Abstract

In this paper, we have discussed the exact solution of Einstein's field equations for anisotropic Bianchi type VI₀ cosmological model in the framework of the scalar-tensor theory of gravitation given by Sáez–Ballester for barotropic fluid distribution. To obtain an exact solution, we have assumed that expansion (θ) is proportional to shear (σ) which leads to A =B^k, where k is a constant A and B are metric potentials and also assumed barotropic condition p = γρ; (0 ≤ γ ≤ 1) where p being isotropic pressure and ρ is matter density. Some physical and geometrical properties of the model are also discussed.