On the Topological Nature of the Hawking Temperature of Black Holes

Abstract

In this work we determine that the Hawking temperature of black holes possesses a purely topological nature. We find a very simple but powerful formula, based on a topological invariant known as the Euler characteristic, which is able to provide the exact Hawking temperature of any two-dimensional black hole -- and in fact of any metric that can be dimensionally reduced to two dimensions -- in any given coordinate system, introducing a covariant way to determine the temperature only using virtually trivial computations. We apply the topological temperature formula to several known black hole systems as well as to the Hawking emission of solitons of integrable equations.

Updated version with more relevant references

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Cited by in corpus (15)

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• Probing Effective Loop Quantum Gravity on Weak Gravitational Lensing, Hawking Radiation and Bounding Greybody Factor by Black Holes
• Joule-Thomson expansion of higher dimensional nonlinearly charged AdS black hole in Einstein-PMI gravity
• Calculating the Hawking Temperatures of Conventional Black Holes in the f(R) Gravity Models with the RVB Method
• On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics
• Hawking temperature in dispersive media: Analytical and numerical study
• Hawking Radiation via Gauss-Bonnet Theorem
• Calculating the Hawking Temperature of Black Holes in $f(Q)$ Gravity Using the RVB Method: A Residue-Based Approach
• Unitary symmetries in wormhole geometry and its thermodynamics
• Topology of black hole thermodynamics: A brief review
• Topological Origin of Horizon Temperature via the Chern-Gauss-Bonnet Theorem
• Emergence of ER=EPR from non-local gravitational energy
• Calculating the Hawking Temperatures of Kerr-Newman Black Holes in the f(R) Gravity Models with the RVB Method