The wave equation on the extreme Reissner-Nordstrom black hole

Autores
Dain, Sergio Alejandro; Dotti, Gustavo Daniel
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study the scalar wave equation on the open exterior region of an extreme Reissner–Nordström black hole and prove that, given compactly supported data on a Cauchy surface orthogonal to the timelike Killing vector field, the solution, together with its (t, s, θ, phgr) derivatives of arbitrary order, s a tortoise radial coordinate, is bounded by a constant that depends only on the initial data. Our technique does not allow studying transverse derivatives at the horizon, which is outside the coordinate patch that we use. However, using previous results that show that second and higher transverse derivatives at the horizon of a generic solution grow unbounded along horizon generators, we show that any such divergence, if present, would be milder for solutions with compact initial data.
Fil: Dain, Sergio Alejandro. 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. Max Planck Institute for Gravitational Physics; Alemania
Materia
Wave
Equation
Black
Hole
Extreme
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:11336/24872
Acceder
id CONICETDig_a59333545d7728828418014b0f7e54dc
oai_identifier_str oai:ri.conicet.gov.ar:11336/24872
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling The wave equation on the extreme Reissner-Nordstrom black holeDain, Sergio AlejandroDotti, Gustavo DanielWaveEquationBlackHoleExtremehttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study the scalar wave equation on the open exterior region of an extreme Reissner–Nordström black hole and prove that, given compactly supported data on a Cauchy surface orthogonal to the timelike Killing vector field, the solution, together with its (t, s, θ, phgr) derivatives of arbitrary order, s a tortoise radial coordinate, is bounded by a constant that depends only on the initial data. Our technique does not allow studying transverse derivatives at the horizon, which is outside the coordinate patch that we use. However, using previous results that show that second and higher transverse derivatives at the horizon of a generic solution grow unbounded along horizon generators, we show that any such divergence, if present, would be milder for solutions with compact initial data.Fil: Dain, Sergio Alejandro. 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; Argentina. Max Planck Institute for Gravitational Physics; AlemaniaIOP Publishing2013-02info: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/11336/24872Dain, Sergio Alejandro; Dotti, Gustavo Daniel; The wave equation on the extreme Reissner-Nordstrom black hole; IOP Publishing; Classical and Quantum Gravity; 30; 5; 2-2013; 1-17; 0550110264-9381CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/30/5/055011info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0264-9381/30/5/055011/metainfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T10:08:08Zoai:ri.conicet.gov.ar:11336/24872instacron: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 10:08:08.445CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv The wave equation on the extreme Reissner-Nordstrom black hole
title The wave equation on the extreme Reissner-Nordstrom black hole
spellingShingle The wave equation on the extreme Reissner-Nordstrom black hole
Dain, Sergio Alejandro
Wave
Equation
Black
Hole
Extreme
title_short The wave equation on the extreme Reissner-Nordstrom black hole
title_full The wave equation on the extreme Reissner-Nordstrom black hole
title_fullStr The wave equation on the extreme Reissner-Nordstrom black hole
title_full_unstemmed The wave equation on the extreme Reissner-Nordstrom black hole
title_sort The wave equation on the extreme Reissner-Nordstrom black hole
dc.creator.none.fl_str_mv Dain, Sergio Alejandro
Dotti, Gustavo Daniel
author Dain, Sergio Alejandro
author_facet Dain, Sergio Alejandro
Dotti, Gustavo Daniel
author_role author
author2 Dotti, Gustavo Daniel
author2_role author
dc.subject.none.fl_str_mv Wave
Equation
Black
Hole
Extreme
topic Wave
Equation
Black
Hole
Extreme
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We study the scalar wave equation on the open exterior region of an extreme Reissner–Nordström black hole and prove that, given compactly supported data on a Cauchy surface orthogonal to the timelike Killing vector field, the solution, together with its (t, s, θ, phgr) derivatives of arbitrary order, s a tortoise radial coordinate, is bounded by a constant that depends only on the initial data. Our technique does not allow studying transverse derivatives at the horizon, which is outside the coordinate patch that we use. However, using previous results that show that second and higher transverse derivatives at the horizon of a generic solution grow unbounded along horizon generators, we show that any such divergence, if present, would be milder for solutions with compact initial data.
Fil: Dain, Sergio Alejandro. 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. Max Planck Institute for Gravitational Physics; Alemania
description We study the scalar wave equation on the open exterior region of an extreme Reissner–Nordström black hole and prove that, given compactly supported data on a Cauchy surface orthogonal to the timelike Killing vector field, the solution, together with its (t, s, θ, phgr) derivatives of arbitrary order, s a tortoise radial coordinate, is bounded by a constant that depends only on the initial data. Our technique does not allow studying transverse derivatives at the horizon, which is outside the coordinate patch that we use. However, using previous results that show that second and higher transverse derivatives at the horizon of a generic solution grow unbounded along horizon generators, we show that any such divergence, if present, would be milder for solutions with compact initial data.
publishDate 2013
dc.date.none.fl_str_mv 2013-02
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/11336/24872
Dain, Sergio Alejandro; Dotti, Gustavo Daniel; The wave equation on the extreme Reissner-Nordstrom black hole; IOP Publishing; Classical and Quantum Gravity; 30; 5; 2-2013; 1-17; 055011
0264-9381
CONICET Digital
CONICET
url http://hdl.handle.net/11336/24872
identifier_str_mv Dain, Sergio Alejandro; Dotti, Gustavo Daniel; The wave equation on the extreme Reissner-Nordstrom black hole; IOP Publishing; Classical and Quantum Gravity; 30; 5; 2-2013; 1-17; 055011
0264-9381
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/30/5/055011
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0264-9381/30/5/055011/meta
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 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
_version_ 1842270032756736000
score 13.13397

Publicaciones similares