Abstract
In this paper we have studied Kantowski-Sachs universe filled with perfect fluid and radiation with a cosmological constant. To get determinate solution, it is assumed that the scalar of expansion is proportional to shear scalar ( ) which leads to the relation between metric potentials n R AS The cosmological parameters of models are also discussed.
Highlights
The spatially homogeneous and anisotropic Kantowski-Sachs model has astro-physically important because they are considered as possible candidates for an early era in cosmology
Exact solutions of general theory of relativity for homogeneous space-time belong to either Bianchi types or Kantowski-Sachs (Roy Choudhari (1979))
Two fluid models where one fluid is the radiation field corresponding to the observed cosmic background radiation, while the matter content of the universe is represented by perfect fluid are studied.( Coley and Tupper 1986; Coley 1988)
Summary
The spatially homogeneous and anisotropic Kantowski-Sachs model has astro-physically important because they are considered as possible candidates for an early era in cosmology. To understand the early and present stages of the universe the spatially homogeneous and isotropic models like FRW are considered as good approximation. Two fluid models where one fluid is the radiation field corresponding to the observed cosmic background radiation, while the matter content of the universe is represented by perfect fluid are studied.( Coley and Tupper 1986; Coley 1988). An interacting two fluid FRW universe is investigated by Pradhan et al (2011). Two fluid cosmological models in Bianchi space-time have been studied by Coley and Dunn (1990), Pant and Oli (2002), Oli (2008), Adhav et al (2011). An analytic solution of general relativistic field equations is presented and physical behavior of the corresponding non-interacting fluids
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