Stability analysis of bulk viscous anisotropic universe model

Abstract

This paper is devoted to study the phase space analysis of locally rotationally symmetric Bianchi type I universe model by taking three different cases for bulk viscosity coefficient. An autonomous system of equations is established by defining normalized dimensionless variables. In order to investigate stability of the system, we evaluate corresponding critical points for different values of the parameters. In the case of bulk viscous matter and radiation, the parameters $\eta=\eta_{0}$ and $m\geq0.8$ show realistic evolution of the universe (prior radiation dominated era, conventional decelerated matter dominated state and ultimately accelerated expansion). We conclude that stable solutions exist in the presence of bulk viscosity with different choices of parameter $m$ .