Gregory-Laflamme encounters superradiance
Gregory-Laflamme encounters superradiance
We investigate the effect of superradiant scattering of gravitational perturbations on the stability of rotating black strings, focusing on the six dimensional equal-spinning Myers-Perry black string. We find that rapidly rotating black strings are unstable to gravitational superradiant modes within a bounded range of string lengths. The instability occurs because momentum along the string direction creates a potential barrier that allows for the confinement of superradiant modes. Yet, five dimensional Myers-Perry black holes do not have stable particle orbits so, unlike other known superradiant systems, these black strings remain stable to perturbations with sufficiently high azimuthal mode number -- this is a `finite-$m$' superradiant instability. For some parameters, this instability competes with the Gregory-Laflamme instability, but otherwise exists independently. The onset of this instability is degenerate and branches to multiple steady-state solutions. This paper is the first of a trilogy: in the next two, we construct two distinct families of rotating strings emerging from the superradiant onset (the `black resonator strings' and `helical black strings'). We argue that similar physics is present in 5-dimensional Kerr black strings, but not in $D>6$ equal-spinning Myers-Perry black strings.
Black Holes, Classical Theories of Gravity
Dias, Oscar J. C.
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Ishii, Takaaki
26f373f6-a961-487a-a89b-7865c4e9e902
Murata, Keiju
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Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Way, Benson
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25 January 2023
Dias, Oscar J. C.
f01a8d9b-9597-4c32-9226-53a6e5500a54
Ishii, Takaaki
26f373f6-a961-487a-a89b-7865c4e9e902
Murata, Keiju
9f530081-f9e5-4549-b376-6a898c1c9bbb
Santos, Jorge E.
88cca86d-9e1e-40a7-acba-f7986bd7f84b
Way, Benson
baebccc2-2305-40c2-bc63-ba6d74789068
Dias, Oscar J. C., Ishii, Takaaki, Murata, Keiju, Santos, Jorge E. and Way, Benson
(2023)
Gregory-Laflamme encounters superradiance.
Journal of High Energy Physics, 2023 (1), [147].
(doi:10.1007/JHEP01(2023)147).
Abstract
We investigate the effect of superradiant scattering of gravitational perturbations on the stability of rotating black strings, focusing on the six dimensional equal-spinning Myers-Perry black string. We find that rapidly rotating black strings are unstable to gravitational superradiant modes within a bounded range of string lengths. The instability occurs because momentum along the string direction creates a potential barrier that allows for the confinement of superradiant modes. Yet, five dimensional Myers-Perry black holes do not have stable particle orbits so, unlike other known superradiant systems, these black strings remain stable to perturbations with sufficiently high azimuthal mode number -- this is a `finite-$m$' superradiant instability. For some parameters, this instability competes with the Gregory-Laflamme instability, but otherwise exists independently. The onset of this instability is degenerate and branches to multiple steady-state solutions. This paper is the first of a trilogy: in the next two, we construct two distinct families of rotating strings emerging from the superradiant onset (the `black resonator strings' and `helical black strings'). We argue that similar physics is present in 5-dimensional Kerr black strings, but not in $D>6$ equal-spinning Myers-Perry black strings.
Text
JHEP01(2023)147
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More information
Accepted/In Press date: 26 December 2022
Published date: 25 January 2023
Additional Information:
Funding: O.J.C.D. acknowledges financial support from the STFC “Particle Physics Grants Panel (PPGP) 2018” Grant No. ST/T000775/1.Publisher Copyright: © 2023, The Author(s).
Keywords:
Black Holes, Classical Theories of Gravity
Identifiers
Local EPrints ID: 477529
URI: http://eprints.soton.ac.uk/id/eprint/477529
ISSN: 1126-6708
PURE UUID: c36ad6d5-b874-42b1-a956-3b7337aa4b16
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Date deposited: 07 Jun 2023 17:14
Last modified: 17 Mar 2024 03:35
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Contributors
Author:
Takaaki Ishii
Author:
Keiju Murata
Author:
Jorge E. Santos
Author:
Benson Way
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