Some Inhomogeneous Magnetized Viscous Fluid Cosmological Models with Varying $\Lambda$

TL;DR

This paper develops inhomogeneous, magnetized viscous fluid cosmological models with a time-varying cosmological constant, analyzing their physical properties and electromagnetic behavior without assuming predefined laws.

Contribution

It introduces new cylindrically symmetric inhomogeneous models with a power-law viscous coefficient and a decreasing cosmological constant derived from the field equations.

Findings

Cosmological constant decreases over time.

Electromagnetic field behavior analyzed within the models.

Physical aspects of the models discussed.

Abstract

Some cylindrically symmetric inhomogeneous viscous fluid cosmological models with electro-magnetic field are obtained. To get a solution a supplementary condition between metric potentials is used. The viscosity coefficient of bulk viscous fluid is assumed to be a power function of mass density. Without assumin g any {\it ad hoc} law, we obtain a cosmological constant as a decreasing function of time. The behaviour of the electro-magnetic field tensor together with some p hysical aspects of the model are also discussed.