Classical instability of Kerr-AdS black holes and the issue of final state
Classical instability of Kerr-AdS black holes and the issue of final state
It is now established that small Kerr–anti-de Sitter (Kerr-AdS) black holes are unstable against scalar perturbations, via the superradiant amplification mechanism. We show that small Kerr-AdS black holes are also unstable against gravitational perturbations and we compute the features of this instability. We also describe with great detail the evolution of this instability. In particular, we identify its end-point state. It corresponds to a Kerr-AdS black hole whose boundary is an Einstein universe rotating with the light velocity. This black hole is expected to be slightly oblate and to coexist in equilibrium with a certain amount of outside radiation.
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Yoshida, Shijun
7671361b-0f79-4404-b1f3-537b855e4f22
15 August 2006
Cardoso, Vitor
08c1bdef-b56a-4067-ab37-89a9ece74fb7
Dias, Oscar J.C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Yoshida, Shijun
7671361b-0f79-4404-b1f3-537b855e4f22
Cardoso, Vitor, Dias, Oscar J.C. and Yoshida, Shijun
(2006)
Classical instability of Kerr-AdS black holes and the issue of final state.
Phys.Rev.D, 74 (4), [044008].
(doi:10.1103/PhysRevD.74.044008).
Abstract
It is now established that small Kerr–anti-de Sitter (Kerr-AdS) black holes are unstable against scalar perturbations, via the superradiant amplification mechanism. We show that small Kerr-AdS black holes are also unstable against gravitational perturbations and we compute the features of this instability. We also describe with great detail the evolution of this instability. In particular, we identify its end-point state. It corresponds to a Kerr-AdS black hole whose boundary is an Einstein universe rotating with the light velocity. This black hole is expected to be slightly oblate and to coexist in equilibrium with a certain amount of outside radiation.
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e-pub ahead of print date: 10 August 2006
Published date: 15 August 2006
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©2006 American Physical Society
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Local EPrints ID: 467694
URI: http://eprints.soton.ac.uk/id/eprint/467694
PURE UUID: b5de2920-6b52-46e5-9900-c49deb6834d4
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Date deposited: 19 Jul 2022 16:51
Last modified: 17 Mar 2024 03:35
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Author:
Vitor Cardoso
Author:
Shijun Yoshida
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