Strong cosmic censorship: taking the rough with the smooth
Strong cosmic censorship: taking the rough with the smooth
It has been argued that the strong cosmic censorship conjecture is violated by Reissner-Nordström-de Sitter black holes: for near-extremal black holes, generic scalar field perturbations arising from smooth initial data have finite energy at the Cauchy horizon even though they are not continuously differentiable there. In this paper, we consider the analogous problem for coupled gravitational and electromagnetic perturbations. We find that such perturbations exhibit a much worse violation of strong cosmic censorship: for a sufficiently large near-extremal black hole, perturbations arising from smooth initial data can be extended through the Cauchy horizon in an arbitrarily smooth way. This is in apparent contradiction with an old argument in favour of strong cosmic censorship. We resolve this contradiction by showing that this old argument is valid only for initial data that is not smooth. This is in agreement with the recent proposal that, to recover strong cosmic censorship, one must allow rough initial data.
Black Holes, Classical Theories of Gravity
1-54
Dias, Oscar J.C.
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Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
October 2018
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Dias, Oscar J.C., Reall, Harvey S. and Santos, Jorge E.
(2018)
Strong cosmic censorship: taking the rough with the smooth.
Journal of High Energy Physics, 2018 (10), , [1].
(doi:10.1007/JHEP10(2018)001).
Abstract
It has been argued that the strong cosmic censorship conjecture is violated by Reissner-Nordström-de Sitter black holes: for near-extremal black holes, generic scalar field perturbations arising from smooth initial data have finite energy at the Cauchy horizon even though they are not continuously differentiable there. In this paper, we consider the analogous problem for coupled gravitational and electromagnetic perturbations. We find that such perturbations exhibit a much worse violation of strong cosmic censorship: for a sufficiently large near-extremal black hole, perturbations arising from smooth initial data can be extended through the Cauchy horizon in an arbitrarily smooth way. This is in apparent contradiction with an old argument in favour of strong cosmic censorship. We resolve this contradiction by showing that this old argument is valid only for initial data that is not smooth. This is in agreement with the recent proposal that, to recover strong cosmic censorship, one must allow rough initial data.
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Dias2018 Article Strong Cosmic Censorship
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Accepted/In Press date: 8 August 2018
e-pub ahead of print date: 1 October 2018
Published date: October 2018
Keywords:
Black Holes, Classical Theories of Gravity
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Local EPrints ID: 425358
URI: http://eprints.soton.ac.uk/id/eprint/425358
ISSN: 1126-6708
PURE UUID: aa77dc16-34c0-42ef-ac04-5cffcdeeb044
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Date deposited: 16 Oct 2018 16:30
Last modified: 16 Mar 2024 04:18
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Author:
Harvey S. Reall
Author:
Jorge E. Santos
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