Modified Takabayasi String with Bulk Viscous Fluid & Variable Λ in Kantowski-Sachs Universe

Abstract

The present study deals with Kantowski-Sachs cosmological model with modified Takabayasi string of the form ρ = (1 + ω)λ + Λ(t) (where Λ(t) depends on the Hubble parameter (H)) in the presence of bulk viscous fluid. To obtain the realistic  model, we assume the condition that the shear scalar is proportional to expansion scalar, i.e., A₁ = A₂^μ. Some physical and geometrical aspects of the model are discussed. The presence of viscous term prevents the universe to be empty. Also we obtained the expression for proper distance, luminosity distance, angular diameter distance and look back time.