Bianchi Type I Cosmological Model with Viscous Fluid in the Framework of VSL Theory

Abstract

The Bianchi type I cosmological model in the framework of Variable Speed of Light (VSL) theory is investigated, by taking into account the effect due to viscosity, considering \(\overline{p}= p-3\zeta H\) where \(\zeta = \zeta_0 \rho H^{-1}\). The Einstein field equations are solved for variable \(G\), \(c\) and \(\Lambda\) in which \(G\), \(c\), \(\Lambda\) and shear parameter \(\sigma^{2}\), all are coupled. It is shown that the viscosity term exhibits the influence on the form of solutions, in the framework of varying speed of light theory.