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Hidden conformal symmetries for black holes in modified gravity

Bill Atkins Orcid Logo, Gianmassimo Tasinato Orcid Logo

Physical Review D, Volume: 108, Issue: 10

Swansea University Author: Gianmassimo Tasinato Orcid Logo

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DOI (Published version): 10.1103/physrevd.108.104070

Abstract

We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric, asymptotically flat black hole geometry. They allow us to factorize...

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Published in: Physical Review D
ISSN: 2470-0010 2470-0029
Published: American Physical Society (APS) 2023
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URI: https://cronfa.swan.ac.uk/Record/cronfa65168
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spelling 2024-03-25T14:19:58.4056981 v2 65168 2023-12-01 Hidden conformal symmetries for black holes in modified gravity cb754b073d1e4949c5e3db97744d3301 0000-0002-9835-4864 Gianmassimo Tasinato Gianmassimo Tasinato true false 2023-12-01 BGPS We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric, asymptotically flat black hole geometry. They allow us to factorize second order operators controlling the black hole perturbations into a product of two commuting first order operators. As a consequence, we are able to analytically determine the most general time-dependent solutions for theblack hole perturbation equations. We focus on solutions belonging to a highest weight representation of a conformal symmetry, showing that they correspond to quasibound states with an ingoing behavior into the black hole horizon, and exponential decay at spatial infinity. Their time dependence is characterized by purely imaginary frequencies, with imaginary parts separated by integer numbers, as the overtones of quasinormal modes in general relativity Journal Article Physical Review D 108 10 American Physical Society (APS) 2470-0010 2470-0029 Alternative Gravity Theories, General relativity 30 11 2023 2023-11-30 10.1103/physrevd.108.104070 http://dx.doi.org/10.1103/physrevd.108.104070 COLLEGE NANME Biosciences Geography and Physics School COLLEGE CODE BGPS Swansea University SU Library paid the OA fee (TA Institutional Deal) Partially funded by the STFC Grants No. ST/T000813/1 and No. ST/X000648/1 2024-03-25T14:19:58.4056981 2023-12-01T07:21:18.1361563 Faculty of Science and Engineering School of Biosciences, Geography and Physics - Physics Bill Atkins 0009-0004-6931-8380 1 Gianmassimo Tasinato 0000-0002-9835-4864 2 65168__29834__0822cb8ae1aa4840968fb456493a76f7.pdf 65168.VOR.pdf 2024-03-25T14:18:57.0616040 Output 255513 application/pdf Version of Record true Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. true eng https://creativecommons.org/licenses/by/4.0/
title Hidden conformal symmetries for black holes in modified gravity
spellingShingle Hidden conformal symmetries for black holes in modified gravity
Gianmassimo Tasinato
title_short Hidden conformal symmetries for black holes in modified gravity
title_full Hidden conformal symmetries for black holes in modified gravity
title_fullStr Hidden conformal symmetries for black holes in modified gravity
title_full_unstemmed Hidden conformal symmetries for black holes in modified gravity
title_sort Hidden conformal symmetries for black holes in modified gravity
author_id_str_mv cb754b073d1e4949c5e3db97744d3301
author_id_fullname_str_mv cb754b073d1e4949c5e3db97744d3301_***_Gianmassimo Tasinato
author Gianmassimo Tasinato
author2 Bill Atkins
Gianmassimo Tasinato
format Journal article
container_title Physical Review D
container_volume 108
container_issue 10
publishDate 2023
institution Swansea University
issn 2470-0010
2470-0029
doi_str_mv 10.1103/physrevd.108.104070
publisher American Physical Society (APS)
college_str Faculty of Science and Engineering
hierarchytype
hierarchy_top_id facultyofscienceandengineering
hierarchy_top_title Faculty of Science and Engineering
hierarchy_parent_id facultyofscienceandengineering
hierarchy_parent_title Faculty of Science and Engineering
department_str School of Biosciences, Geography and Physics - Physics{{{_:::_}}}Faculty of Science and Engineering{{{_:::_}}}School of Biosciences, Geography and Physics - Physics
url http://dx.doi.org/10.1103/physrevd.108.104070
document_store_str 1
active_str 0
description We determine hidden conformal symmetries behind the evolution equations of black hole perturbations in a vector-tensor theory of gravity. Such hidden symmetries are valid everywhere in the exterior region of a spherically symmetric, asymptotically flat black hole geometry. They allow us to factorize second order operators controlling the black hole perturbations into a product of two commuting first order operators. As a consequence, we are able to analytically determine the most general time-dependent solutions for theblack hole perturbation equations. We focus on solutions belonging to a highest weight representation of a conformal symmetry, showing that they correspond to quasibound states with an ingoing behavior into the black hole horizon, and exponential decay at spatial infinity. Their time dependence is characterized by purely imaginary frequencies, with imaginary parts separated by integer numbers, as the overtones of quasinormal modes in general relativity
published_date 2023-11-30T08:32:02Z
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score 11.048302

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