An alternative well-posedness property and static spacetimes with naked singularities

Autores
Gamboa Saravi, Ricardo Enrique; Sanmartino, Marcela; Tchamitchian, Philippe
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular timelike boundary is well-posed, if we only require the waves to have finite energy, although no boundary condition is required. This feature does not come from essential self-adjointness, which is false in these cases, but from a different phenomenon that we call the alternative well-posedness property, whose origin is due to the degeneracy of the metric components near the boundary. Beyond these examples, in the second part, we characterize the type of degeneracy which leads to this phenomenon.
Fil: Gamboa Saravi, Ricardo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Sanmartino, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Tchamitchian, Philippe. Université Paul Cézanne; Francia
Materia
Mathematical Physics
Gravitation
Singularities
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:11336/279840
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/279840
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling An alternative well-posedness property and static spacetimes with naked singularitiesGamboa Saravi, Ricardo EnriqueSanmartino, MarcelaTchamitchian, PhilippeMathematical PhysicsGravitationSingularitieshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular timelike boundary is well-posed, if we only require the waves to have finite energy, although no boundary condition is required. This feature does not come from essential self-adjointness, which is false in these cases, but from a different phenomenon that we call the alternative well-posedness property, whose origin is due to the degeneracy of the metric components near the boundary. Beyond these examples, in the second part, we characterize the type of degeneracy which leads to this phenomenon.Fil: Gamboa Saravi, Ricardo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; ArgentinaFil: Sanmartino, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; ArgentinaFil: Tchamitchian, Philippe. Université Paul Cézanne; FranciaIOP Publishing2010-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/279840Gamboa Saravi, Ricardo Enrique; Sanmartino, Marcela; Tchamitchian, Philippe; An alternative well-posedness property and static spacetimes with naked singularities; IOP Publishing; Classical and Quantum Gravity; 27; 21; 11-2010; 1-300264-9381CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://iopscience.iop.org/article/10.1088/0264-9381/27/21/215016info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/27/21/215016info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-26T10:07:17Zoai:ri.conicet.gov.ar:11336/279840instacron: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:34982026-02-26 10:07:17.745CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv An alternative well-posedness property and static spacetimes with naked singularities
title An alternative well-posedness property and static spacetimes with naked singularities
spellingShingle An alternative well-posedness property and static spacetimes with naked singularities
Gamboa Saravi, Ricardo Enrique
Mathematical Physics
Gravitation
Singularities
title_short An alternative well-posedness property and static spacetimes with naked singularities
title_full An alternative well-posedness property and static spacetimes with naked singularities
title_fullStr An alternative well-posedness property and static spacetimes with naked singularities
title_full_unstemmed An alternative well-posedness property and static spacetimes with naked singularities
title_sort An alternative well-posedness property and static spacetimes with naked singularities
dc.creator.none.fl_str_mv Gamboa Saravi, Ricardo Enrique
Sanmartino, Marcela
Tchamitchian, Philippe
author Gamboa Saravi, Ricardo Enrique
author_facet Gamboa Saravi, Ricardo Enrique
Sanmartino, Marcela
Tchamitchian, Philippe
author_role author
author2 Sanmartino, Marcela
Tchamitchian, Philippe
author2_role author
author
dc.subject.none.fl_str_mv Mathematical Physics
Gravitation
Singularities
topic Mathematical Physics
Gravitation
Singularities
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular timelike boundary is well-posed, if we only require the waves to have finite energy, although no boundary condition is required. This feature does not come from essential self-adjointness, which is false in these cases, but from a different phenomenon that we call the alternative well-posedness property, whose origin is due to the degeneracy of the metric components near the boundary. Beyond these examples, in the second part, we characterize the type of degeneracy which leads to this phenomenon.
Fil: Gamboa Saravi, Ricardo Enrique. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - La Plata. Instituto de Física La Plata. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Instituto de Física La Plata; Argentina. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Física; Argentina
Fil: Sanmartino, Marcela. Universidad Nacional de La Plata. Facultad de Ciencias Exactas. Departamento de Matemáticas; Argentina
Fil: Tchamitchian, Philippe. Université Paul Cézanne; Francia
description In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular timelike boundary is well-posed, if we only require the waves to have finite energy, although no boundary condition is required. This feature does not come from essential self-adjointness, which is false in these cases, but from a different phenomenon that we call the alternative well-posedness property, whose origin is due to the degeneracy of the metric components near the boundary. Beyond these examples, in the second part, we characterize the type of degeneracy which leads to this phenomenon.
publishDate 2010
dc.date.none.fl_str_mv 2010-11
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/11336/279840
Gamboa Saravi, Ricardo Enrique; Sanmartino, Marcela; Tchamitchian, Philippe; An alternative well-posedness property and static spacetimes with naked singularities; IOP Publishing; Classical and Quantum Gravity; 27; 21; 11-2010; 1-30
0264-9381
CONICET Digital
CONICET
url http://hdl.handle.net/11336/279840
identifier_str_mv Gamboa Saravi, Ricardo Enrique; Sanmartino, Marcela; Tchamitchian, Philippe; An alternative well-posedness property and static spacetimes with naked singularities; IOP Publishing; Classical and Quantum Gravity; 27; 21; 11-2010; 1-30
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/url/https://iopscience.iop.org/article/10.1088/0264-9381/27/21/215016
info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/27/21/215016
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
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 13.176822

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