Boundary conditions for extremal black holes from 2d gravity
Boundary conditions for extremal black holes from 2d gravity
We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.
Detournay, Stephane
cf41165d-35c2-4628-8c0e-d5519a1c84e0
Smoes, Thomas
b9c2ab61-45d8-4715-afff-03d2b899599b
Wutte, Raphaela
7103a5f7-a0fa-41d2-a762-4b8a7cfee9bb
30 May 2024
Detournay, Stephane
cf41165d-35c2-4628-8c0e-d5519a1c84e0
Smoes, Thomas
b9c2ab61-45d8-4715-afff-03d2b899599b
Wutte, Raphaela
7103a5f7-a0fa-41d2-a762-4b8a7cfee9bb
Detournay, Stephane, Smoes, Thomas and Wutte, Raphaela
(2024)
Boundary conditions for extremal black holes from 2d gravity.
SciPost Phys., 16, [141].
(doi:10.21468/SciPostPhys.16.5.141).
Abstract
We devise new boundary conditions for the near-horizon geometries of extremal BTZ and Kerr black holes, as well as for the ultra-cold limit of the Kerr-de Sitter black hole. These boundary conditions are obtained as the higher-dimensional uplift of recently proposed boundary conditions in two-dimensional gravity. Their asymptotic symmetries consist in the semi-direct product of a Virasoro and a current algebra, of which we determine the central extensions.
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SciPostPhys_16_5_141
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Accepted/In Press date: 13 May 2024
e-pub ahead of print date: 30 May 2024
Published date: 30 May 2024
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Local EPrints ID: 512844
URI: https://eprints.soton.ac.uk/id/eprint/512844
ISSN: 2542-4653
PURE UUID: 12fd2bbb-5f3f-4fb8-8d3a-1025dd8b3d24
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Date deposited: 24 Jul 2026 16:43
Last modified: 13 Sep 2026 15:49
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Author:
Stephane Detournay
Author:
Thomas Smoes
Author:
Raphaela Wutte
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