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Possible Applications in Inhomogeneous Cosmological Models

  • Subhajit SahaEmail author
Chapter
Part of the SpringerBriefs in Physics book series (SpringerBriefs in Physics)

Abstract

This chapter deals with a speculative application of cosmological thermodynamics in the inhomogeneous Lemaitre–Tolman–Bondi model. We have assumed a (inhomogeneous) perfect fluid for the purpose. Starting from the basic equations of the model, we have defined the surface gravity at an arbitrary horizon and obtained three equivalent expressions for it. Consequently, the Hawking temperature has been obtained. Finally, by employing the Bekenstein entropy and the generalized Hawking temperature at the horizon, we have undertaken a thermodynamic study of the model.

Keywords

Backreaction LTB metric Mass function Unified first law Bekenstein-Hawking formalism 

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Copyright information

© The Author(s), under exclusive licence to Switzerland AG, part of Springer Nature 2018

Authors and Affiliations

  1. 1.Department of MathematicsPanihati MahavidyalayaKolkataIndia

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