Bianchi type-VI model with cosmic strings in the presence of a magnetic field

TL;DR

This paper explores Bianchi type-VI cosmological models with cosmic strings and magnetic fields, deriving exact solutions and analyzing their long-term behavior, highlighting the impact of magnetic flux on the model's consistency.

Contribution

It provides new exact analytical solutions for Bianchi type-VI models with magnetic fields and cosmic strings, addressing consistency issues through specific assumptions.

Findings

Exact solutions for Bianchi type-VI with magnetic flux and cosmic strings.

Asymptotic behavior of solutions for large time.

Restrictions imposed by magnetic fields on the model's consistency.

Abstract

A Bianchi type-VI cosmological model in the presence of a magnetic flux together with a cloud of cosmic strings is considered. In general, the presence of a magnetic field imposes severe restrictions regarding the consistency of the field equations. These difficulties could be overtaken working either in a Bianchi type-VI$_0$ spacetime or assuming a particular coordinate-dependence of the magnetic field. Using a few plausible assumptions regarding the parametrization of the cosmic strings, some exact analytical solutions are presented. Their asymptotic behavior for large time is exhibited.