Two Fluid Cosmological Model in A Kantowski-Sachs Space-Time in General Relativity

V. G. Mete, V. M. Umarkar, V. S. Bawane

Abstract: : A class of solutions of Einsteins field equations describing two fluid models of the universe in Kantowski-Sachs Space-time has been presented, in which the source of gravitational field consist of two commoving perfect fluids. One fluid is a radiation field, modeling the cosmic microwave background (CMB), while other is a matter field, modeling the material content of the universe. It is found that the both fluids are comoving in Kantowski Sachs Space-time. The behavior of the radiation density, matter density, the ratio of the matter density to the radiation density and the pressure has been discussed. A subclass of solutions is found to describe models of a spatially homogeneous and partially isotropic evolving from a radiation dominated era to a pressure free matter dominated era. Further a table summarizes the asymptotic properties of all physically relevant variables.

Keywords: Kantowski-Sachstwo fluidgeneral relativity