Homogeneous Anisotropic Cosmological Models with Viscous Fluid and Magnetic Field

TL;DR

This paper derives exact solutions for anisotropic cosmological models with viscous fluids and magnetic fields, revealing that magnetic fields do not alter the fundamental singularity structure.

Contribution

It provides new exact solutions for Bianchi and Kantowski-Sachs models with dissipative fluids and magnetic fields, under specific equations of state and relations.

Findings

Magnetic field does not change the nature of the initial singularity.

Two types of solutions are identified for different Bianchi and Kantowski-Sachs models.

The models incorporate dissipative fluids with specific equations of state.

Abstract

The paper presents some exact solutions of Bianchi types I, III and Kantowski-Sachs cosmological models consisting of a dissipative fluid along with an axial magnetic field. A barytropic equation of state between the thermodynamic pressure and the matter density, together with a pair of linear relations between the matter density, the shear scalar, and the expansion scalar have been assumed for simplicity. The solutions are basically of two different types, one for the Bianchi-I and the other for Bianchi-III and Kantowski-Sachs type. The presence of the magnetic field, however, does not change the fundamental nature of the initial singularity.