Zero temperature black holes in semiclassical gravity
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,...
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| description | 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. |
| doi_str_mv | 10.48550/arxiv.0102111 |
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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.</description><identifier>EISSN: 2331-8422</identifier><identifier>DOI: 10.48550/arxiv.0102111</identifier><language>eng</language><publisher>Ithaca: Cornell University Library, arXiv.org</publisher><subject>Black holes ; Einstein equations ; Event horizon ; Mathematical analysis ; Quantum theory</subject><ispartof>arXiv.org, 2001-03</ispartof><rights>2001. This work is published under https://arxiv.org/licenses/assumed-1991-2003/license.html (the “License”). 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| subjects | Black holes Einstein equations Event horizon Mathematical analysis Quantum theory |
| title | Zero temperature black holes in semiclassical gravity |
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