Black to white transition of a charged black hole

Antoine Rignon-Bret and Carlo Rovelli
Phys. Rev. D 105, 086003 – Published 8 April 2022

Abstract

We present an exact solution of the Maxwell-Einstein equations, which describes the exterior of a charged spherical mass collapsing into its own trapping horizon and then bouncing back from an antitrapping horizon at the same space location of the same asymptotic region. The solution is locally but not globally isometric to the maximally extended Reissner-Nordström metric and depends on seven parameters. It is regular and defined everywhere except for a small region, where quantum tunneling is expected. This region lies outside the mass: The mass bounce and its near exterior are governed by classical general relativity. We discuss the relevance of this result for the fate of realistic black holes. We comment on the possible effects of the classical instabilities and the Hawking radiation.

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  • Received 27 October 2021
  • Accepted 13 March 2022

DOI:https://doi.org/10.1103/PhysRevD.105.086003

© 2022 American Physical Society

Physics Subject Headings (PhySH)

Gravitation, Cosmology & Astrophysics

Authors & Affiliations

Antoine Rignon-Bret1 and Carlo Rovelli2,3,4

  • 1École Normale Supérieure, 45 rue d’Ulm, F-75230 Paris, France
  • 2Aix-Marseille University, Université de Toulon, CPT-CNRS, F-13288 Marseille, France
  • 3Department of Philosophy and the Rotman Institute of Philosophy, 1151 Richmond Street N, London, Ontario N6A5B7, Canada
  • 4Perimeter Institute, 31 Caroline Street N, Waterloo, Ontario N2L2Y5, Canada

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Issue

Vol. 105, Iss. 8 — 15 April 2022

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