Global Hawking Temperature of Schwarzschild-de Sitter Spacetime: a Topological Approach
General Relativity and Quantum Cosmology
2019-02-08 v1
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.
Keywords
Cite
@article{arxiv.1902.02547,
title = {Global Hawking Temperature of Schwarzschild-de Sitter Spacetime: a Topological Approach},
author = {Charles W. Robson and Leone Di Mauro Villari and Fabio Biancalana},
journal= {arXiv preprint arXiv:1902.02547},
year = {2019}
}