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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Main Authors: Óscar J. C. Dias, Takaaki Ishii, Keiju Murata, Jorge E. Santos, Benson Way
Format: Article
Language:English
Published: SpringerOpen 2023-01-01
Series:Journal of High Energy Physics
Subjects:
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.
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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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