Gregory-Laflamme encounters Superradiance
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 mod...
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Format: | Article |
Language: | English |
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SpringerOpen
2023-01-01
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Series: | Journal of High Energy Physics |
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Online Access: | https://doi.org/10.1007/JHEP01(2023)147 |
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author | Óscar J. C. Dias Takaaki Ishii Keiju Murata Jorge E. Santos Benson Way |
author_facet | Óscar J. C. Dias Takaaki Ishii Keiju Murata Jorge E. Santos Benson Way |
author_sort | Óscar J. C. Dias |
collection | DOAJ |
description | 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. |
first_indexed | 2024-04-09T15:12:43Z |
format | Article |
id | doaj.art-49939d2b4288458cbe517fdc7c41860f |
institution | Directory Open Access Journal |
issn | 1029-8479 |
language | English |
last_indexed | 2024-04-09T15:12:43Z |
publishDate | 2023-01-01 |
publisher | SpringerOpen |
record_format | Article |
series | Journal of High Energy Physics |
spelling | doaj.art-49939d2b4288458cbe517fdc7c41860f2023-04-30T11:04:54ZengSpringerOpenJournal of High Energy Physics1029-84792023-01-012023113610.1007/JHEP01(2023)147Gregory-Laflamme encounters SuperradianceÓscar J. C. Dias0Takaaki Ishii1Keiju Murata2Jorge E. Santos3Benson Way4STAG research centre and Mathematical Sciences, University of SouthamptonDepartment of Physics, Rikkyo UniversityDepartment of Physics, College of Humanities and Sciences, Nihon UniversityDAMTP, Centre for Mathematical Sciences, University of CambridgeDepartament de Física Quàntica i Astrofísica, Institut de Ciències del Cosmos Universitat de BarcelonaAbstract 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.https://doi.org/10.1007/JHEP01(2023)147Black HolesClassical Theories of Gravity |
spellingShingle | Óscar J. C. Dias Takaaki Ishii Keiju Murata Jorge E. Santos Benson Way Gregory-Laflamme encounters Superradiance Journal of High Energy Physics Black Holes Classical Theories of Gravity |
title | Gregory-Laflamme encounters Superradiance |
title_full | Gregory-Laflamme encounters Superradiance |
title_fullStr | Gregory-Laflamme encounters Superradiance |
title_full_unstemmed | Gregory-Laflamme encounters Superradiance |
title_short | Gregory-Laflamme encounters Superradiance |
title_sort | gregory laflamme encounters superradiance |
topic | Black Holes Classical Theories of Gravity |
url | https://doi.org/10.1007/JHEP01(2023)147 |
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