Bianchi Type I Anisotropic Magnetized Cosmological Models with Varying $\Lambda$

TL;DR

This paper investigates Bianchi type I cosmological models with magnetic fields and bulk viscosity, showing that the cosmological constant decreases over time, aligning with recent supernovae data.

Contribution

It introduces magnetized Bianchi type I models with bulk viscosity and a time-varying cosmological constant, extending previous anisotropic cosmological solutions.

Findings

Cosmological constant is positive and decreases over time.

Magnetic field influences the evolution of the models.

Models align with recent supernovae observations.

Abstract

Bianchi type I magnetized cosmological models in the presence of a bulk viscous fluid are investigated. The source of the magnetic field is due to an electric current produced along x-axis. The distribution consists of an electrically neutral viscous fluid with an infinite electrical conductivity. The coefficient of bulk viscosity is assumed to be a power function of mass density. The cosmological constant $\Lambda$ is found to be positive and is a decreasing function of time which is supported by results from recent supernovae observations. The behaviour of the models in presence and absence of magnetic field are also discussed.