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arXiv · 1902.02547

Global Hawking Temperature of Schwarzschild-de Sitter Spacetime: a Topological Approach

Charles W. Robson·Leone Di Mauro Villari·Fabio Biancalana
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Abstract

We introduce a calculation, based on purely topological reasoning, of the global equilibrium Hawking temperature of the Schwarzschild-de Sitter spacetime, where a Schwarzschild black hole horizon coexists with a de Sitter cosmological horizon. Our method is based on the careful calculation of the Euler characteristic of the total system, showing that this quantity completely determines the thermodynamical features of the system. The method is universal and can be applied to any structure possessing multiple horizons in general relativity.

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Charles W. Robson, Leone Di Mauro Villari, Fabio Biancalana. 2019-02-07. Global Hawking Temperature of Schwarzschild-de Sitter Spacetime: a Topological Approach. https://arxiv.org/abs/1902.02547

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