Magnetized Bianchi Type $VI_{0}$ Barotropic Massive String Universe with Decaying Vacuum Energy Density $\Lambda$

TL;DR

This paper investigates Bianchi type VI0 cosmological models with massive strings and magnetic fields, revealing that vacuum energy density decreases as 1/t^2 and analyzing their physical and geometrical properties.

Contribution

It introduces a method to model Bianchi type VI0 universes with magnetic fields and massive strings, deriving specific behavior of vacuum energy density over time.

Findings

Vacuum energy density Λ ∝ 1/t^2

Models exhibit different behaviors with and without magnetic fields

Physical and geometrical properties are analyzed

Abstract

Bianchi type $VI_{0}$ massive string cosmological models using the technique given by Letelier (1983) with magnetic field are investigated. To get the deterministic models, we assume that the expansion ($\theta$) in the model is proportional to the shear ($\sigma$) and also the fluid obeys the barotropic equation of state. It was found that vacuum energy density $\Lambda \propto \frac{1}{t^{2}}$ which matches with natural units. The behaviour of the models from physical and geometrical aspects in presence and absence of magnetic field is also discussed.