Hawking Temperature and the Inverse-Radius Scale of the Horizon
General Relativity and Quantum Cosmology
2025-01-20 v2 High Energy Physics - Theory
Abstract
The Hawking temperature of a Schwarzschild black hole can be heuristically derived by identifying the temperature with the inverse radius of the horizon up to a multiplicative constant. This does not work for more general black holes such as the Kerr and Reissner-Nordstr\"om solutions. Expounding on the details of how it fails to work nevertheless uncovers interesting connections with the "spring constant" of black holes and with black hole thermodynamics.
Keywords
Cite
@article{arxiv.2407.21114,
title = {Hawking Temperature and the Inverse-Radius Scale of the Horizon},
author = {Michael R. R. Good and Yen Chin Ong},
journal= {arXiv preprint arXiv:2407.21114},
year = {2025}
}
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published version