Plane-symmetric inhomogeneous magnetized viscous fluid universe with a variable $\Lambda$

TL;DR

This paper investigates plane-symmetric inhomogeneous cosmological models with magnetic fields and bulk viscosity, showing small positive cosmological constants consistent with supernova observations, and discusses their physical and geometric properties.

Contribution

It introduces new inhomogeneous models with variable bulk viscosity and magnetic fields, analyzing their physical and geometric characteristics in the context of a variable cosmological constant.

Findings

Cosmological constant values are small and positive, aligning with supernova data.

Magnetic fields influence the inhomogeneous cosmological models.

Physical and geometric properties of the models are discussed.

Abstract

The behavior of magnetic field in plane symmetric inhomogeneous cosmological models for bulk viscous distribution is investigated. The coefficient of bulk viscosity is assumed to be a power function of mass density $(\xi =\xi_{0}\rho^{n})$. The values of cosmological constant for these models are found to be small and positive which are supported by the results from recent supernovae Ia observations. Some physical and geometric aspects of the models are also discussed.