Abstract
The Hawking temperature for Schwarzschild black hole is \(T = {1 \mathord{\left/ {\vphantom {1 {8\pi M}}} \right. \kern-0em} {8\pi M}}\), where \(M\) is the black hole mass. For vanishing mass one gets infinite temperature. This effect is called the black hole explosion. We discuss the origin of blow up of the temperature and suggest the ways of how to resolve this problem. We consider the Schwarzschild, Reissner-Nordstrom and also others black holes.
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Notes
For \(b = 0\) we get the standard formula for the Schwarzschild metric in the Kruskal coordinates.
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Aref’eva, I.Y., Volovich, I.V. Quantum Explosions of Black Holes. Phys. Part. Nuclei Lett. 20, 416–420 (2023). https://doi.org/10.1134/S154747712303007X
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DOI: https://doi.org/10.1134/S154747712303007X