Bianchi type-VI anisotropic dark energy model with varying EoS parameter

TL;DR

This paper models the universe using an anisotropic Bianchi type-VI cosmology with dark energy, deriving exact solutions with time-varying parameters and analyzing their stability and evolution stages.

Contribution

It introduces a deterministic anisotropic dark energy model with a proportional shear and expansion scalar, providing exact solutions and analyzing their stability and evolution.

Findings

EoS parameter and deceleration parameter are time-dependent.

Model aligns qualitatively with observational data.

Solutions are stable under the assumed conditions.

Abstract

Within the scope of an anisotropic Bianchi type-VI cosmological model we have studied the evolution of the universe filled with perfect fluid and dark energy. To get the deterministic model of Universe, we assume that the shear scalar $(\sigma)$ in the model is proportional to expansion scalar $(\vartheta)$. This assumption allows only isotropic distribution of fluid. Exact solution to the corresponding equations are obtained. The EoS parameter for dark energy as well as deceleration parameter is found to be the time varying functions. Using the observational data qualitative picture of the evolution of the universe corresponding to different of its stages is given. The stability of the solutions obtained is also studied.