Gravitational instability of the inner static region of a Reissner-Nordström black hole

Autores
Dotti, Gustavo Daniel; Gleiser, Reinaldo Jaime
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Reissner-Nordström black holes have two static regions: r > r o and 0 < r < ri, where ri and r o are the inner and outer horizon radii, respectively. The stability of the exterior static regionwas established a long time ago. In this work we prove that the interior static region is unstable under linear gravitational perturbations, by showing that field perturbations compactly supported within this region will generically excite amode that grows exponentially in time. This result gives an alternative reason to mass inflation to consider the spacetime extension beyond theCauchy horizon as physically irrelevant, and thus provides support to the strong cosmic censorship conjecture, which is also backed by recent evidence of a linear gravitational instability in the interior region of Kerr black holes found by the authors. The use of intertwiners to solve the evolution of initial data plays a key role, and adapts without a change to the case of super-extremal Reissner-Nordström black holes, allowing us to complete the proof of the linear instability of this naked singularity. A particular intertwiner is found such that the intertwined Zerilli field has a geometrical meaning - it is the first-order variation of a particular Riemann tensor invariant. Using this, calculations can be carried out explicitly for every harmonic number. © 2010 IOP Publishing Ltd.
Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. 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: Gleiser, Reinaldo Jaime. 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
Exact solutions
Black Holes
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:11336/189123
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Gravitational instability of the inner static region of a Reissner-Nordström black holeDotti, Gustavo DanielGleiser, Reinaldo JaimeExact solutionsBlack Holeshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Reissner-Nordström black holes have two static regions: r > r o and 0 < r < ri, where ri and r o are the inner and outer horizon radii, respectively. The stability of the exterior static regionwas established a long time ago. In this work we prove that the interior static region is unstable under linear gravitational perturbations, by showing that field perturbations compactly supported within this region will generically excite amode that grows exponentially in time. This result gives an alternative reason to mass inflation to consider the spacetime extension beyond theCauchy horizon as physically irrelevant, and thus provides support to the strong cosmic censorship conjecture, which is also backed by recent evidence of a linear gravitational instability in the interior region of Kerr black holes found by the authors. The use of intertwiners to solve the evolution of initial data plays a key role, and adapts without a change to the case of super-extremal Reissner-Nordström black holes, allowing us to complete the proof of the linear instability of this naked singularity. A particular intertwiner is found such that the intertwined Zerilli field has a geometrical meaning - it is the first-order variation of a particular Riemann tensor invariant. Using this, calculations can be carried out explicitly for every harmonic number. © 2010 IOP Publishing Ltd.Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. 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: Gleiser, Reinaldo Jaime. 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; ArgentinaIOP Publishing2010-07info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/189123Dotti, Gustavo Daniel; Gleiser, Reinaldo Jaime; Gravitational instability of the inner static region of a Reissner-Nordström black hole; IOP Publishing; Classical and Quantum Gravity; 27; 18; 7-2010; 1-170264-93811361-6382CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/27/18/185007info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0264-9381/27/18/185007info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:45:53Zoai:ri.conicet.gov.ar:11336/189123instacron: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 09:45:53.481CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Gravitational instability of the inner static region of a Reissner-Nordström black hole
title Gravitational instability of the inner static region of a Reissner-Nordström black hole
spellingShingle Gravitational instability of the inner static region of a Reissner-Nordström black hole
Dotti, Gustavo Daniel
Exact solutions
Black Holes
title_short Gravitational instability of the inner static region of a Reissner-Nordström black hole
title_full Gravitational instability of the inner static region of a Reissner-Nordström black hole
title_fullStr Gravitational instability of the inner static region of a Reissner-Nordström black hole
title_full_unstemmed Gravitational instability of the inner static region of a Reissner-Nordström black hole
title_sort Gravitational instability of the inner static region of a Reissner-Nordström black hole
dc.creator.none.fl_str_mv Dotti, Gustavo Daniel
Gleiser, Reinaldo Jaime
author Dotti, Gustavo Daniel
author_facet Dotti, Gustavo Daniel
Gleiser, Reinaldo Jaime
author_role author
author2 Gleiser, Reinaldo Jaime
author2_role author
dc.subject.none.fl_str_mv Exact solutions
Black Holes
topic Exact solutions
Black Holes
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Reissner-Nordström black holes have two static regions: r > r o and 0 < r < ri, where ri and r o are the inner and outer horizon radii, respectively. The stability of the exterior static regionwas established a long time ago. In this work we prove that the interior static region is unstable under linear gravitational perturbations, by showing that field perturbations compactly supported within this region will generically excite amode that grows exponentially in time. This result gives an alternative reason to mass inflation to consider the spacetime extension beyond theCauchy horizon as physically irrelevant, and thus provides support to the strong cosmic censorship conjecture, which is also backed by recent evidence of a linear gravitational instability in the interior region of Kerr black holes found by the authors. The use of intertwiners to solve the evolution of initial data plays a key role, and adapts without a change to the case of super-extremal Reissner-Nordström black holes, allowing us to complete the proof of the linear instability of this naked singularity. A particular intertwiner is found such that the intertwined Zerilli field has a geometrical meaning - it is the first-order variation of a particular Riemann tensor invariant. Using this, calculations can be carried out explicitly for every harmonic number. © 2010 IOP Publishing Ltd.
Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física. Sección Física; Argentina. 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: Gleiser, Reinaldo Jaime. 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 Reissner-Nordström black holes have two static regions: r > r o and 0 < r < ri, where ri and r o are the inner and outer horizon radii, respectively. The stability of the exterior static regionwas established a long time ago. In this work we prove that the interior static region is unstable under linear gravitational perturbations, by showing that field perturbations compactly supported within this region will generically excite amode that grows exponentially in time. This result gives an alternative reason to mass inflation to consider the spacetime extension beyond theCauchy horizon as physically irrelevant, and thus provides support to the strong cosmic censorship conjecture, which is also backed by recent evidence of a linear gravitational instability in the interior region of Kerr black holes found by the authors. The use of intertwiners to solve the evolution of initial data plays a key role, and adapts without a change to the case of super-extremal Reissner-Nordström black holes, allowing us to complete the proof of the linear instability of this naked singularity. A particular intertwiner is found such that the intertwined Zerilli field has a geometrical meaning - it is the first-order variation of a particular Riemann tensor invariant. Using this, calculations can be carried out explicitly for every harmonic number. © 2010 IOP Publishing Ltd.
publishDate 2010
dc.date.none.fl_str_mv 2010-07
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/11336/189123
Dotti, Gustavo Daniel; Gleiser, Reinaldo Jaime; Gravitational instability of the inner static region of a Reissner-Nordström black hole; IOP Publishing; Classical and Quantum Gravity; 27; 18; 7-2010; 1-17
0264-9381
1361-6382
CONICET Digital
CONICET
url http://hdl.handle.net/11336/189123
identifier_str_mv Dotti, Gustavo Daniel; Gleiser, Reinaldo Jaime; Gravitational instability of the inner static region of a Reissner-Nordström black hole; IOP Publishing; Classical and Quantum Gravity; 27; 18; 7-2010; 1-17
0264-9381
1361-6382
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/27/18/185007
info:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0264-9381/27/18/185007
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
application/pdf
dc.publisher.none.fl_str_mv IOP Publishing
publisher.none.fl_str_mv IOP Publishing
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
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score 13.13397

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