Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions

Quasi-normal modes (QNMs) and greybody factors are some of the most characteristic features of the dynamics of black holes (BHs) and represent the basis for a number of fundamental physics tests with gravitational wave observations. It is therefore important to understand the properties of these qua...

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Detalles Bibliográficos
Autores: Lenzi, Michele, Montava, Arnau, Sopuerta, Carlos F.
Tipo de recurso: artículo
Estado:Versión enviada para evaluación y publicación
Fecha de publicación:2025
País:España
Institución:Consejo Superior de Investigaciones Científicas (CSIC)
Repositorio:DIGITAL.CSIC. Repositorio Institucional del CSIC
OAI Identifier:oai:digital.csic.es:10261/407485
Acceso en línea:http://hdl.handle.net/10261/407485
http://arxiv.org/abs/2503.09918v3
Access Level:acceso abierto
Palabra clave:GR black holes
Modified gravity
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spelling Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other QuestionsLenzi, MicheleMontava, ArnauSopuerta, Carlos F.GR black holesModified gravityQuasi-normal modes (QNMs) and greybody factors are some of the most characteristic features of the dynamics of black holes (BHs) and represent the basis for a number of fundamental physics tests with gravitational wave observations. It is therefore important to understand the properties of these quantities, naturally introduced within BH perturbation theory, in particular the stability properties under modifications of the BH potential. Instabilities in the QNMs have been recently shown to appear in the BH pseudospectrum under certain circumstances. In this work, we give a novel point of view based on the existence of some recently discovered hidden symmetries in BH dynamics and the associated infinite series of conserved quantities, the Korteweg-de Vries (KdV) integrals. We provide different motivations to use the KdV integrals as indicators of some crucial BH spectral properties. In particular, by studying them in different scenarios described by modified BH barriers, we find strong evidence that the KdV conserved quantities represent a useful tool to look for instabilities in the BH spectrum of QNMs and in their greybody factors.ML and CFS have been supported by contract PID2019-106515GB-I00/AEI/10.13039/50 1100011033 (Spanish Ministry of Science and Innovation) and 2017-SGR-1469 (AGAUR, Generalitat de Catalunya). This work was also partially supported by the program Unidad de Excelencia María de Maeztu CEX2020-001058-M (Spanish Ministry of Science and Innovation). ML has also been supported by a Juan de la Cierva contract FJC2021-047289-I funded by program MCIN/AEI/10.13039/501100011033 (Spanish Ministry of Science and Innovation) and by NextGenerationEU/PRTR (European Union). AMA was partially supported by the JAE-ICU program (2023-ICE-07) to support the introduction to scientifc research, linked to the María de Maeztu contract mentioned above He has also been supported by Programme RI-24 — researcher in gravitational-wave astronomy (Research and Innovation Program linked to Component 23, Investment 1, within the framework of the Recovery, Transformation and Resilience Plan, funded by the European Union — Next Generation EU, corresponding to the years 2024 and 2025). We have used the Computer Algebra Systems Mathematica to carry out most of the computations necessary for this paper.With funding from the Spanish government through the "María de Maeztu Unit of Excellence" accreditation (CEX2020-001058-M)NoIOP PublishingAgencia Estatal de Investigación (España)Ministerio de Ciencia e Innovación (España)Generalitat de CatalunyaEuropean CommissionLenzi, Michele [0000-0002-0131-2829]Montava, Arnau [0009-0004-0797-3312]Sopuerta, Carlos F. [0000-0002-1779-4447]Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]202520252025info:eu-repo/semantics/articlehttp://purl.org/coar/resource_type/c_6501Preprintinfo:eu-repo/semantics/submittedVersionapplication/pdfhttp://hdl.handle.net/10261/407485http://arxiv.org/abs/2503.09918v3reponame:DIGITAL.CSIC. Repositorio Institucional del CSICinstname:Consejo Superior de Investigaciones Científicas (CSIC)Inglés#PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE##PLACEHOLDER_PARENT_METADATA_VALUE#info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106515GB-I00info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CEX2020-001058-Minfo:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/FJC2021-047289-Ihttps://doi.org/10.1088/1475-7516/2025/09/021Síinfo:eu-repo/semantics/openAccessoai:digital.csic.es:10261/4074852026-05-22T06:33:51Z
dc.title.none.fl_str_mv Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
title Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
spellingShingle Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
Lenzi, Michele
GR black holes
Modified gravity
title_short Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
title_full Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
title_fullStr Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
title_full_unstemmed Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
title_sort Korteweg-de Vries Integrals for Modified Black Hole Potentials: Instabilities and other Questions
dc.creator.none.fl_str_mv Lenzi, Michele
Montava, Arnau
Sopuerta, Carlos F.
author Lenzi, Michele
author_facet Lenzi, Michele
Montava, Arnau
Sopuerta, Carlos F.
author_role author
author2 Montava, Arnau
Sopuerta, Carlos F.
author2_role author
author
dc.contributor.none.fl_str_mv Agencia Estatal de Investigación (España)
Ministerio de Ciencia e Innovación (España)
Generalitat de Catalunya
European Commission
Lenzi, Michele [0000-0002-0131-2829]
Montava, Arnau [0009-0004-0797-3312]
Sopuerta, Carlos F. [0000-0002-1779-4447]
Consejo Superior de Investigaciones Científicas [https://ror.org/02gfc7t72]
dc.subject.none.fl_str_mv GR black holes
Modified gravity
topic GR black holes
Modified gravity
description Quasi-normal modes (QNMs) and greybody factors are some of the most characteristic features of the dynamics of black holes (BHs) and represent the basis for a number of fundamental physics tests with gravitational wave observations. It is therefore important to understand the properties of these quantities, naturally introduced within BH perturbation theory, in particular the stability properties under modifications of the BH potential. Instabilities in the QNMs have been recently shown to appear in the BH pseudospectrum under certain circumstances. In this work, we give a novel point of view based on the existence of some recently discovered hidden symmetries in BH dynamics and the associated infinite series of conserved quantities, the Korteweg-de Vries (KdV) integrals. We provide different motivations to use the KdV integrals as indicators of some crucial BH spectral properties. In particular, by studying them in different scenarios described by modified BH barriers, we find strong evidence that the KdV conserved quantities represent a useful tool to look for instabilities in the BH spectrum of QNMs and in their greybody factors.
publishDate 2025
dc.date.none.fl_str_mv 2025
2025
2025
dc.type.none.fl_str_mv info:eu-repo/semantics/article
http://purl.org/coar/resource_type/c_6501
Preprint
info:eu-repo/semantics/submittedVersion
format article
status_str submittedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10261/407485
http://arxiv.org/abs/2503.09918v3
url http://hdl.handle.net/10261/407485
http://arxiv.org/abs/2503.09918v3
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.relation.none.fl_str_mv #PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
#PLACEHOLDER_PARENT_METADATA_VALUE#
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2017-2020/PID2019-106515GB-I00
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/CEX2020-001058-M
info:eu-repo/grantAgreement/AEI/Plan Estatal de Investigación Científica y Técnica y de Innovación 2021-2023/FJC2021-047289-I
https://doi.org/10.1088/1475-7516/2025/09/021
Sí
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
dc.source.none.fl_str_mv reponame:DIGITAL.CSIC. Repositorio Institucional del CSIC
instname:Consejo Superior de Investigaciones Científicas (CSIC)
instname_str Consejo Superior de Investigaciones Científicas (CSIC)
reponame_str DIGITAL.CSIC. Repositorio Institucional del CSIC
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