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

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.

19 pages, 2 figures

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