Inhomogeneous viscous fluid cosmological model of the universe with effective equation of state and scalar field

Abstract

A generalized dynamical equation for the scale factor of the universe is proposed to describe the cosmological evolution by considering the bulk viscosity [Formula: see text] and time dependent parameter [Formula: see text] as linear combination of two terms of the form [Formula: see text] and [Formula: see text] i.e. one is constant and other is proportional to the scalar expansion [Formula: see text] In this framework, we obtained the analytical solution of the field equations for the scale factor [Formula: see text] scalar field potential [Formula: see text] with effective equation of state (EoS) of the form [Formula: see text] where [Formula: see text]. The final results are compared with previously known results for the model with scalar field.