The BTZ black hole violates strong cosmic censorship
The BTZ black hole violates strong cosmic censorship
We investigate the stability of the inner horizon of a rotating BTZ black hole. We show that linear perturbations arising from smooth initial data are arbitrarily differentiable at the inner horizon if the black hole is sufficiently close to extremality. This is demonstrated for scalar fields, for massive Chern-Simons fields, for Proca fields, and for massive spin-2 fields. Thus the strong cosmic censorship conjecture is violated by a near-extremal BTZ black hole in a large class of theories. However, we show that a weaker \rough" version of the conjecture is respected. We calculate the renormalized energymomentum tensor of a scalar field in the Hartle-Hawking state in the BTZ geometry. We show that the result is finite at the inner horizon of a near-extremal black hole. Hence the backreaction of vacuum polarization does not enforce strong cosmic censorship.
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
11 December 2019
Campos Dias, Oscar
f01a8d9b-9597-4c32-9226-53a6e5500a54
Reall, Harvey S.
63d30f86-ab43-437d-86d9-eed9d4469ef8
Santos, Jorge E.
6e5a1703-a14c-4ef6-bfe4-7e4c5177c274
Campos Dias, Oscar, Reall, Harvey S. and Santos, Jorge E.
(2019)
The BTZ black hole violates strong cosmic censorship.
Journal of High Energy Physics, (97), [97 (2019)].
(doi:10.1007/JHEP12(2019)097).
Abstract
We investigate the stability of the inner horizon of a rotating BTZ black hole. We show that linear perturbations arising from smooth initial data are arbitrarily differentiable at the inner horizon if the black hole is sufficiently close to extremality. This is demonstrated for scalar fields, for massive Chern-Simons fields, for Proca fields, and for massive spin-2 fields. Thus the strong cosmic censorship conjecture is violated by a near-extremal BTZ black hole in a large class of theories. However, we show that a weaker \rough" version of the conjecture is respected. We calculate the renormalized energymomentum tensor of a scalar field in the Hartle-Hawking state in the BTZ geometry. We show that the result is finite at the inner horizon of a near-extremal black hole. Hence the backreaction of vacuum polarization does not enforce strong cosmic censorship.
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1906.08265-2
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BTZ black hole
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Accepted/In Press date: 26 November 2019
Published date: 11 December 2019
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Local EPrints ID: 441498
URI: http://eprints.soton.ac.uk/id/eprint/441498
ISSN: 1029-8479
PURE UUID: c334a05f-ae65-4eb4-b11c-71240e6c3eb0
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Date deposited: 16 Jun 2020 16:30
Last modified: 17 Mar 2024 03:35
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Author:
Harvey S. Reall
Author:
Jorge E. Santos
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