Do semiclassical zero temperature black holes exist?

Details Do semiclassical zero temperature black holes exist? Do semiclassical zero temperature black holes exist?

2000-02-02

arxiv.org/abs/gr-qc/0002007v2

Phys.Rev.Lett. 85 (2000) 2438-2441

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

5 pages, no figures, minor changes and corrections, to appear in Physical Review Letters

Scientific paper

10.1103/PhysRevLett.85.2438

The semiclassical Einstein equations are solved to first order in $\epsilon = \hbar/M^2$ for the case of a Reissner-Nordstr\"{o}m black hole perturbed by the vacuum stress-energy of quantized free fields. Massless and massive fields of spin 0, 1/2, and 1 are considered. We show that in all physically realistic cases, macroscopic zero temperature black hole solutions do not exist. Any static zero temperature semiclassical black hole solutions must then be microscopic and isolated in the space of solutions; they do not join smoothly onto the classical extreme Reissner-Nordst\"{o}m solution as $\epsilon \to 0$.

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