Linearly Varying Deceleration Parameter in Viscous Bianchi Type I Universe

Abstract

We investigate a class of cosmological models in the background of homogeneous and anisotropic Bianchi type I space–time for viscous fluid distribution by constraining the deceleration parameter in the presence of dark energy represented by a time-varying cosmological constant. We discuss, in the context of some vacuum decay laws, the cosmological implications of the corresponding solutions. The models have finite life time. They start with a big bang and end in a big rip. The models isotropize and the presence of shear viscosity accelerates the isotropization process. The variations of different cosmological parameters are shown graphically.