Nonmodal linear stability of the Schwarzschild black hole

Autores
Dotti, Gustavo Daniel
Año de publicación
2014
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
A proof is given that the space L of solutions of the linearized vacuum Einstein equation around a Schwarzschild black hole is parametrized by two scalar fields, which are gauge invariant combinations of perturbed algebraic and differential invariants of the Weyl tensor and encode the information on the odd (−) and even (+) sectors L. These fields measure the distortion of the geometry caused by a generic perturbation and are shown to be pointwise bounded on the outer region r ≥ 2M.
publishedVersion
Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Física de Partículas y Campos
Fuente
ISSN 0031-9007
Materia
Gravitation
General relativity
Black holes
Stability
Nivel de accesibilidad
acceso abierto
Condiciones de uso
Repositorio
Repositorio Digital Universitario (UNC)
Institución
Universidad Nacional de Córdoba
OAI Identificador
oai:rdu.unc.edu.ar:11086/19891
Acceder
id RDUUNC_58481243dd70b08864bc3b69fee20b41
oai_identifier_str oai:rdu.unc.edu.ar:11086/19891
network_acronym_str RDUUNC
repository_id_str 2572
network_name_str Repositorio Digital Universitario (UNC)
spelling Nonmodal linear stability of the Schwarzschild black holeDotti, Gustavo DanielGravitationGeneral relativityBlack holesStabilityFil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.A proof is given that the space L of solutions of the linearized vacuum Einstein equation around a Schwarzschild black hole is parametrized by two scalar fields, which are gauge invariant combinations of perturbed algebraic and differential invariants of the Weyl tensor and encode the information on the odd (−) and even (+) sectors L. These fields measure the distortion of the geometry caused by a generic perturbation and are shown to be pointwise bounded on the outer region r ≥ 2M.publishedVersionFil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.Física de Partículas y Campos2014info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfDotti, G. D. (2014). Nonmodal linear stability of the Schwarzschild black hole. Physical Review Letters, 112 (19), 191101. https://doi.org/10.1103/PhysRevLett.112.191101http://hdl.handle.net/11086/19891https://doi.org/10.1103/PhysRevLett.112.191101ISSN 0031-9007reponame:Repositorio Digital Universitario (UNC)instname:Universidad Nacional de Córdobainstacron:UNCenghttps://rdu.unc.edu.ar/info:eu-repo/semantics/openAccess2025-09-04T12:33:07Zoai:rdu.unc.edu.ar:11086/19891Institucionalhttps://rdu.unc.edu.ar/Universidad públicaNo correspondehttp://rdu.unc.edu.ar/oai/snrdoca.unc@gmail.comArgentinaNo correspondeNo correspondeNo correspondeopendoar:25722025-09-04 12:33:07.45Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdobafalse
dc.title.none.fl_str_mv Nonmodal linear stability of the Schwarzschild black hole
title Nonmodal linear stability of the Schwarzschild black hole
spellingShingle Nonmodal linear stability of the Schwarzschild black hole
Dotti, Gustavo Daniel
Gravitation
General relativity
Black holes
Stability
title_short Nonmodal linear stability of the Schwarzschild black hole
title_full Nonmodal linear stability of the Schwarzschild black hole
title_fullStr Nonmodal linear stability of the Schwarzschild black hole
title_full_unstemmed Nonmodal linear stability of the Schwarzschild black hole
title_sort Nonmodal linear stability of the Schwarzschild black hole
dc.creator.none.fl_str_mv Dotti, Gustavo Daniel
author Dotti, Gustavo Daniel
author_facet Dotti, Gustavo Daniel
author_role author
dc.subject.none.fl_str_mv Gravitation
General relativity
Black holes
Stability
topic Gravitation
General relativity
Black holes
Stability
dc.description.none.fl_txt_mv Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
A proof is given that the space L of solutions of the linearized vacuum Einstein equation around a Schwarzschild black hole is parametrized by two scalar fields, which are gauge invariant combinations of perturbed algebraic and differential invariants of the Weyl tensor and encode the information on the odd (−) and even (+) sectors L. These fields measure the distortion of the geometry caused by a generic perturbation and are shown to be pointwise bounded on the outer region r ≥ 2M.
publishedVersion
Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
Fil: Dotti, Gustavo Daniel. Consejo Nacional de Investigaciones Científicas y Técnicas. Instituto de Física Enrique Gaviola; Argentina.
Física de Partículas y Campos
description Fil: Dotti, Gustavo Daniel. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina.
publishDate 2014
dc.date.none.fl_str_mv 2014
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 Dotti, G. D. (2014). Nonmodal linear stability of the Schwarzschild black hole. Physical Review Letters, 112 (19), 191101. https://doi.org/10.1103/PhysRevLett.112.191101
http://hdl.handle.net/11086/19891
https://doi.org/10.1103/PhysRevLett.112.191101
identifier_str_mv Dotti, G. D. (2014). Nonmodal linear stability of the Schwarzschild black hole. Physical Review Letters, 112 (19), 191101. https://doi.org/10.1103/PhysRevLett.112.191101
url http://hdl.handle.net/11086/19891
https://doi.org/10.1103/PhysRevLett.112.191101
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv https://rdu.unc.edu.ar/
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.source.none.fl_str_mv ISSN 0031-9007
reponame:Repositorio Digital Universitario (UNC)
instname:Universidad Nacional de Córdoba
instacron:UNC
reponame_str Repositorio Digital Universitario (UNC)
collection Repositorio Digital Universitario (UNC)
instname_str Universidad Nacional de Córdoba
instacron_str UNC
institution UNC
repository.name.fl_str_mv Repositorio Digital Universitario (UNC) - Universidad Nacional de Córdoba
repository.mail.fl_str_mv oca.unc@gmail.com
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score 13.13397

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