Thermodynamical Behaviour of Inhomogeneous Universe with Varying $\Lambda$ in Presence of Electromagnetic Field

TL;DR

This paper investigates the thermodynamical behavior of an inhomogeneous universe with a varying cosmological constant and electromagnetic fields, deriving solutions supported by recent supernovae observations.

Contribution

It presents a new deterministic model of an inhomogeneous universe with a varying Lambda and electromagnetic fields, linking thermodynamics and cosmology.

Findings

The cosmological constant is small and positive, consistent with supernovae data.

A relation between Lambda and thermodynamical quantities is established.

Physical and geometric properties of the model are discussed.

Abstract

Thermodynamical Behaviour of Inhomogeneous Universe with Varying $ \Lambda $ in Presence of Electromagnetic Field is obtained. $ F_{12} $ is the non-vanishing component of electromagnetic field tensor. To get a deterministic solution, it is assumed that the free gravitational field is Petrov type-II non-degenerate.The value of cosmological constant is found to be small and pasitive supported by recent results from the supernovae observations recently obtained by High-Z Supernovae Ia Team and Supernovae Cosmological Project. A relation between cosmological constant and thermodynamical quantities is established. Some physical and geometric properties of the model are also discussed.