Abstract

This paper is devoted to studying the generalized Chaplygin gas models in Bianchi type III space- time geometry with time varying bulk viscosity, cosmological and gravitational constants. We are considering the condition on metric potential . Also to obtain deterministic models we have considered physically reasonable relations like , and the equation of state for generalized Chaplygin gas given by . A new set of exact solutions of Einstein’s field equations has been obtained in Eckart theory, truncated theory and full causal theory. Physical behaviour of the models has been discussed.

Highlights

  • The motivation behind the stimulated interest in anisotropic cosmological models is experimental study of iso-How to cite this paper: Kotambkar, S., Singh, G.P. and Kelkar, R. (2015) Bulk Viscous Anisotropic Cosmological Models with Generalized Chaplygin Gas with Time Varying Gravitational and Cosmological Constants

  • Bianchi type III cosmological model in f(R, T) theory of gravity has been discussed by Reddy et al [3]

  • From Equation (26) and Figure 3 one can see that cosmological constant is decreasing with evolution of the universe which is in fair agreement with observations

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Summary

Introduction

How to cite this paper: Kotambkar, S., Singh, G.P. and Kelkar, R. (2015) Bulk Viscous Anisotropic Cosmological Models with Generalized Chaplygin Gas with Time Varying Gravitational and Cosmological Constants. (2015) Bulk Viscous Anisotropic Cosmological Models with Generalized Chaplygin Gas with Time Varying Gravitational and Cosmological Constants. The astronomical observations of type Ia supernovae [6]-[10], galaxy red shift surveys [11], cosmic background radiation data [12] [13] and large scale structure [14] convincingly suggest that present universe is undergoing the accelerated phase of expansion To understand this accelerated behavior of universe, cosmological constant played a significant role. Khurshudyan et al [22] have studied observational constraints on models of the universe with time-variable gravitational and cosmological constants along modified gravity theory. Paul et al [39] have studied observational constraints on modified Chaplygin gas

Field Equation
Cosmological Solutions
Discussion
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