Zero temperature black holes in semiclassical gravity

Details Zero temperature black holes in semiclassical gravity Zero temperature black holes in semiclassical gravity

2001-02-28

arxiv.org/abs/gr-qc/0102111v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages, to appear in the Proceedings of the Ninth Marcel Grossmann Meeting, change in title

Scientific paper

The semiclassical Einstein equations are solved to first order in $\epsilon = \hbar/M^2$ for the case of an extreme or nearly extreme Reissner-Nordstr\"{o}m black hole perturbed by the vacuum stress-energy of quantized free fields. It is shown that, for realistic fields of spin 0, 1/2, or 1, any zero temperature black hole solution to the equations must have an event horizon at $r_h < |Q|$, with $Q$ the charge of the black hole. It is further shown that no black hole solutions with $r_h < |Q|$ can be obtained by solving the semiclassical Einstein equations perturbatively.

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