Spatially Homogeneous Bianchi Type I Mesonic Models in Two-Fluid Cosmology

Abstract

In this paper, we present exact solutions of Einstein's field equations in two-fluid cosmology in the presence of a zero-rest-mass scalar field within the framework of a spatially homogeneous Bianchi type-I space-time. In the two-fluid cosmology, one fluid represents the matter content of the universe and the other one to the model of cosmic microwave background radiation. Exact solution of field equations are obtained by assuming that the anisotropy in model is inversely proportional to m^th power of the average scale factor. Two classes of anisotropic cosmological models are obtained, one with the power-law expansion (m ≠ 3) and the other one with exponential expansion (m = 2). The physical and kinematical behaviors of the models are also discussed in detail.