Superradiance and black resonator strings encounter helical black strings

Abstract We construct a cohomogeneity-1 helical black string in six-dimensional Einstein gravity. The helical solution branches from the onset of the gravitational superradiant instability of the equal-spinning Myers-Perry black string. The isometry group of the helical black string is ℝ T × U(1) Z...

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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 2023-05-01
Series:Journal of High Energy Physics
Subjects:
Online Access:https://doi.org/10.1007/JHEP05(2023)041
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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 construct a cohomogeneity-1 helical black string in six-dimensional Einstein gravity. The helical solution branches from the onset of the gravitational superradiant instability of the equal-spinning Myers-Perry black string. The isometry group of the helical black string is ℝ T × U(1) Z × SU(2), where the first two are helical isometries generated by linear combinations of time translation, shifts along the string, and rotation, each of which is individually broken by the superradiant instability. The helical black string is stationary, non-axisymmetric, and has nonzero horizon velocity despite the absence of momentum in the string direction. The entropy of the helical black string is higher than that of the Myers-Perry black string, but lower than cohomogeneity-2 “black resonator strings” (recently found) when the solutions overlap in the microcanonical ensemble. The entropy of the helical black string approaches zero when the horizon velocity along the string reaches its maximum given by the speed of light. Nevertheless, we find no evidence for the existence of regular horizonless solutions in this limit.
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spelling doaj.art-45f962b85cdd4c06b53266848d0bec272023-08-27T11:05:46ZengSpringerOpenJournal of High Energy Physics1029-84792023-05-012023515510.1007/JHEP05(2023)041Superradiance and black resonator strings encounter helical black stringsÓscar 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 construct a cohomogeneity-1 helical black string in six-dimensional Einstein gravity. The helical solution branches from the onset of the gravitational superradiant instability of the equal-spinning Myers-Perry black string. The isometry group of the helical black string is ℝ T × U(1) Z × SU(2), where the first two are helical isometries generated by linear combinations of time translation, shifts along the string, and rotation, each of which is individually broken by the superradiant instability. The helical black string is stationary, non-axisymmetric, and has nonzero horizon velocity despite the absence of momentum in the string direction. The entropy of the helical black string is higher than that of the Myers-Perry black string, but lower than cohomogeneity-2 “black resonator strings” (recently found) when the solutions overlap in the microcanonical ensemble. The entropy of the helical black string approaches zero when the horizon velocity along the string reaches its maximum given by the speed of light. Nevertheless, we find no evidence for the existence of regular horizonless solutions in this limit.https://doi.org/10.1007/JHEP05(2023)041Black HolesClassical Theories of Gravity
spellingShingle Óscar J. C. Dias
Takaaki Ishii
Keiju Murata
Jorge E. Santos
Benson Way
Superradiance and black resonator strings encounter helical black strings
Journal of High Energy Physics
Black Holes
Classical Theories of Gravity
title Superradiance and black resonator strings encounter helical black strings
title_full Superradiance and black resonator strings encounter helical black strings
title_fullStr Superradiance and black resonator strings encounter helical black strings
title_full_unstemmed Superradiance and black resonator strings encounter helical black strings
title_short Superradiance and black resonator strings encounter helical black strings
title_sort superradiance and black resonator strings encounter helical black strings
topic Black Holes
Classical Theories of Gravity
url https://doi.org/10.1007/JHEP05(2023)041
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AT jorgeesantos superradianceandblackresonatorstringsencounterhelicalblackstrings
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