Bianchi VI0 viscous fluid cosmology with magnetic field

TL;DR

This paper investigates Bianchi type VI0 cosmological models with viscous fluid and magnetic fields, deriving solutions with and without magnetic influence, and finds magnetic fields do not significantly alter the initial singularity.

Contribution

It provides new exact solutions for Bianchi VI0 models with viscous fluids and magnetic fields, highlighting the magnetic field's limited impact on initial singularity characteristics.

Findings

Solutions obtained with and without magnetic fields

Magnetic field does not significantly modify the initial singularity

Models assume specific linear relations among matter variables

Abstract

A spatially homogeneous Bianchi type VI0 model containing a viscous fluid in the presence of an axial magnetic field has been studied. A barotropic equation of state together with a pair of linear relations among the square root of matter density, shear scalar, and expansion scalar have been assumed. Solutions are obtained in the presence of a magnetic field, only in two special cases, which are comparatively simpler. The complete solutions for this model in the absence of a magnetic field are also obtained. The presence of a magnetic field in the former case however, does not in effect cause any major modification in the fundamental nature of the initial singularity of the expanding model.