Bianchi type i cosmological model with varying G, Λ & σ2 in VSL theory

Abstract

In this paper we study the Bianchi type I cosmological model in the framework of variable speed of light (VSL) theory. The cosmological field equations are solved for variable G，c and Λ coupled with shear parameter σ2. It is shown for the large value of t the resulting model reduces to FLRW model with Λ approaches to constant. We also derived exact expressions for the look back time, proper distance, luminosity distance and angular diameter distance versus redshift in the framework of VSL theory as already discussed by Khadekar and Kamdi [Int. Jour. Theo. Phys. 48 314% (2009)] in differ­ent context.