Stability of viscous fluid in Bianchi type-VI model with cosmological constant

TL;DR

This paper studies the stability and evolution of a Bianchi type-VI cosmological model with viscous dark energy and a cosmological constant, demonstrating accelerated expansion and crossing of the phantom divide.

Contribution

It introduces a new solution for Bianchi type-VI models with viscous fluid and cosmological constant, analyzing their dynamic behavior and expansion properties.

Findings

Universe exhibits accelerated expansion over time.

EOS parameter crosses the phantom divide line.

Model demonstrates stability under specified conditions.

Abstract

In this paper, we investigate Bianchi type-$VI$ cosmological model for the universe filled with dark energy and viscous fluid in the presence of cosmological constant. Also, we show accelerating expansion of the universe by drawing volume scale, pressure and energy density versus cosmic time. In order to solve the Einstein field equations, we assume the expansion scalar is proportional to a component of the shear tensor. Therefore, we obtain the directional scale factors and show the EOS parameter crosses over phantom divided-line.