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Zero temperature black holes in semiclassical gravity

Paul R. Anderson·William A. Hiscock·Brett E. Taylor
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Abstract

The semiclassical Einstein equations are solved to first order in $ε= \hbar/M^2$ for the case of an extreme or nearly extreme Reissner-Nordström 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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Paul R. Anderson, William A. Hiscock, Brett E. Taylor. 2001-03-14. Zero temperature black holes in semiclassical gravity. https://doi.org/10.1142/9789812777386_0289

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