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

Autores
Gamboa Saraví, 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 time-like boundary is well posed, if we only demand 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.
Instituto de Física La Plata
Departamento de Matemática
Materia
Física
Fundamental problems and general formalism
Singularities and cosmic censorship
Initial value problem, existence and uniqueness of solutions
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by/3.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/131375
Acceder
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oai_identifier_str oai:sedici.unlp.edu.ar:10915/131375
network_acronym_str SEDICI
repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling An alternative well-posedness property and static spacetimes with naked singularitiesGamboa Saraví, Ricardo EnriqueSanmartino, MarcelaTchamitchian, PhilippeFísicaFundamental problems and general formalismSingularities and cosmic censorshipInitial value problem, existence and uniqueness of solutionsIn the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular time-like boundary is well posed, if we only demand 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.Instituto de Física La PlataDepartamento de Matemática2010-10-04info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfhttp://sedici.unlp.edu.ar/handle/10915/131375enginfo:eu-repo/semantics/altIdentifier/issn/0264-9381info:eu-repo/semantics/altIdentifier/issn/1361-6382info:eu-repo/semantics/altIdentifier/arxiv/0910.5439v2info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/27/21/215016info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by/3.0/Creative Commons Attribution 3.0 Unported (CC BY 3.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-09-03T11:03:23Zoai:sedici.unlp.edu.ar:10915/131375Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-09-03 11:03:23.403SEDICI (UNLP) - Universidad Nacional de La Platafalse
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 Saraví, Ricardo Enrique
Física
Fundamental problems and general formalism
Singularities and cosmic censorship
Initial value problem, existence and uniqueness of solutions
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 Saraví, Ricardo Enrique
Sanmartino, Marcela
Tchamitchian, Philippe
author Gamboa Saraví, Ricardo Enrique
author_facet Gamboa Saraví, Ricardo Enrique
Sanmartino, Marcela
Tchamitchian, Philippe
author_role author
author2 Sanmartino, Marcela
Tchamitchian, Philippe
author2_role author
author
dc.subject.none.fl_str_mv Física
Fundamental problems and general formalism
Singularities and cosmic censorship
Initial value problem, existence and uniqueness of solutions
topic Física
Fundamental problems and general formalism
Singularities and cosmic censorship
Initial value problem, existence and uniqueness of solutions
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 time-like boundary is well posed, if we only demand 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.
Instituto de Física La Plata
Departamento de Matemática
description In the first part of this paper, we show that the Cauchy problem for wave propagation in some static spacetimes presenting a singular time-like boundary is well posed, if we only demand 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 2010-10-04
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/131375
url http://sedici.unlp.edu.ar/handle/10915/131375
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0264-9381
info:eu-repo/semantics/altIdentifier/issn/1361-6382
info:eu-repo/semantics/altIdentifier/arxiv/0910.5439v2
info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/27/21/215016
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by/3.0/
Creative Commons Attribution 3.0 Unported (CC BY 3.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/3.0/
Creative Commons Attribution 3.0 Unported (CC BY 3.0)
dc.format.none.fl_str_mv application/pdf
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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