Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case

Autores
Fernández Tío, Julián María; Dotti, Gustavo Daniel
Año de publicación
2017
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Following a program on black hole nonmodal linear stability initiated by one of the authors [Phys. Rev. Lett. 112, 191101 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.191101], we study odd linear perturbations of the Einstein-Maxwell equations around a Reissner-Nordström anti-de Sitter black hole. We show that all the gauge invariant information in the metric and Maxwell field perturbations is encoded in the spacetime scalars F=δ(Fαβ∗Fαβ) and Q=δ(148Cαβγδ∗Cαβγδ), where Cαβγδ is the Weyl tensor, Fαβ is the Maxwell field, a star denotes Hodge dual, and δ means first order variation, and that the linearized Einstein-Maxwell equations are equivalent to a coupled system of wave equations for F and Q. For a non-negative cosmological constant we prove that F and Q are pointwise bounded on the outer static region. The fields are shown to diverge as the Cauchy horizon is approached from the inner dynamical region, providing evidence supporting strong cosmic censorship. In the asymptotically anti-de Sitter case the dynamics depends on the boundary condition at the conformal timelike boundary, and there are instabilities if Robin boundary conditions are chosen.
Fil: Fernández Tío, Julián María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Materia
Black holes
Linear stability
Non modal stability
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/64699
Acceder
id CONICETDig_77b3bb07604798aac1c621a97f1a74ba
oai_identifier_str oai:ri.conicet.gov.ar:11336/64699
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström caseFernández Tío, Julián MaríaDotti, Gustavo DanielBlack holesLinear stabilityNon modal stabilityhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Following a program on black hole nonmodal linear stability initiated by one of the authors [Phys. Rev. Lett. 112, 191101 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.191101], we study odd linear perturbations of the Einstein-Maxwell equations around a Reissner-Nordström anti-de Sitter black hole. We show that all the gauge invariant information in the metric and Maxwell field perturbations is encoded in the spacetime scalars F=δ(Fαβ∗Fαβ) and Q=δ(148Cαβγδ∗Cαβγδ), where Cαβγδ is the Weyl tensor, Fαβ is the Maxwell field, a star denotes Hodge dual, and δ means first order variation, and that the linearized Einstein-Maxwell equations are equivalent to a coupled system of wave equations for F and Q. For a non-negative cosmological constant we prove that F and Q are pointwise bounded on the outer static region. The fields are shown to diverge as the Cauchy horizon is approached from the inner dynamical region, providing evidence supporting strong cosmic censorship. In the asymptotically anti-de Sitter case the dynamics depends on the boundary condition at the conformal timelike boundary, and there are instabilities if Robin boundary conditions are chosen.Fil: Fernández Tío, Julián María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaFil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaAmerican Physical Society2017-06-26info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/64699Fernández Tío, Julián María; Dotti, Gustavo Daniel; Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case; American Physical Society; Physical Review D; 95; 12; 26-6-20172470-00102470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevD.95.124041info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.95.124041info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1607.00975info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:47:13Zoai:ri.conicet.gov.ar:11336/64699instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982025-09-03 09:47:13.887CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
title Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
spellingShingle Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
Fernández Tío, Julián María
Black holes
Linear stability
Non modal stability
title_short Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
title_full Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
title_fullStr Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
title_full_unstemmed Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
title_sort Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case
dc.creator.none.fl_str_mv Fernández Tío, Julián María
Dotti, Gustavo Daniel
author Fernández Tío, Julián María
author_facet Fernández Tío, Julián María
Dotti, Gustavo Daniel
author_role author
author2 Dotti, Gustavo Daniel
author2_role author
dc.subject.none.fl_str_mv Black holes
Linear stability
Non modal stability
topic Black holes
Linear stability
Non modal stability
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Following a program on black hole nonmodal linear stability initiated by one of the authors [Phys. Rev. Lett. 112, 191101 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.191101], we study odd linear perturbations of the Einstein-Maxwell equations around a Reissner-Nordström anti-de Sitter black hole. We show that all the gauge invariant information in the metric and Maxwell field perturbations is encoded in the spacetime scalars F=δ(Fαβ∗Fαβ) and Q=δ(148Cαβγδ∗Cαβγδ), where Cαβγδ is the Weyl tensor, Fαβ is the Maxwell field, a star denotes Hodge dual, and δ means first order variation, and that the linearized Einstein-Maxwell equations are equivalent to a coupled system of wave equations for F and Q. For a non-negative cosmological constant we prove that F and Q are pointwise bounded on the outer static region. The fields are shown to diverge as the Cauchy horizon is approached from the inner dynamical region, providing evidence supporting strong cosmic censorship. In the asymptotically anti-de Sitter case the dynamics depends on the boundary condition at the conformal timelike boundary, and there are instabilities if Robin boundary conditions are chosen.
Fil: Fernández Tío, Julián María. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
description Following a program on black hole nonmodal linear stability initiated by one of the authors [Phys. Rev. Lett. 112, 191101 (2014)PRLTAO0031-900710.1103/PhysRevLett.112.191101], we study odd linear perturbations of the Einstein-Maxwell equations around a Reissner-Nordström anti-de Sitter black hole. We show that all the gauge invariant information in the metric and Maxwell field perturbations is encoded in the spacetime scalars F=δ(Fαβ∗Fαβ) and Q=δ(148Cαβγδ∗Cαβγδ), where Cαβγδ is the Weyl tensor, Fαβ is the Maxwell field, a star denotes Hodge dual, and δ means first order variation, and that the linearized Einstein-Maxwell equations are equivalent to a coupled system of wave equations for F and Q. For a non-negative cosmological constant we prove that F and Q are pointwise bounded on the outer static region. The fields are shown to diverge as the Cauchy horizon is approached from the inner dynamical region, providing evidence supporting strong cosmic censorship. In the asymptotically anti-de Sitter case the dynamics depends on the boundary condition at the conformal timelike boundary, and there are instabilities if Robin boundary conditions are chosen.
publishDate 2017
dc.date.none.fl_str_mv 2017-06-26
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/64699
Fernández Tío, Julián María; Dotti, Gustavo Daniel; Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case; American Physical Society; Physical Review D; 95; 12; 26-6-2017
2470-0010
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/64699
identifier_str_mv Fernández Tío, Julián María; Dotti, Gustavo Daniel; Black hole nonmodal linear stability under odd perturbations: The Reissner-Nordström case; American Physical Society; Physical Review D; 95; 12; 26-6-2017
2470-0010
2470-0029
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://link.aps.org/doi/10.1103/PhysRevD.95.124041
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.95.124041
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1607.00975
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv American Physical Society
publisher.none.fl_str_mv American Physical Society
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
_version_ 1842268843603394560
score 13.13397

Publicaciones similares