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arXiv · 2407.21114

Hawking Temperature and the Inverse-Radius Scale of the Horizon

Michael R. R. Good·Yen Chin Ong
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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.

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Michael R. R. Good, Yen Chin Ong. 2024-07-30. Hawking Temperature and the Inverse-Radius Scale of the Horizon. https://doi.org/10.1016/j.aop.2024.169919

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