Stable isoperimetric surfaces in super-extreme Reissner-Nordström

Autores
Aceña, Andrés Esteban; Dain, Sergio Alejandro
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We study isoperimetric surfaces in the Reissner-Nordström spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.
Fil: Aceña, Andrés Esteban. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Instituto de Física "Enrique Gaviola"; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
Isoperimetric Surfaces
Reissner-Nordstrom
Geometric Inequalities
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:11336/2787
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/2787
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network_name_str CONICET Digital (CONICET)
spelling Stable isoperimetric surfaces in super-extreme Reissner-NordströmAceña, Andrés EstebanDain, Sergio AlejandroIsoperimetric SurfacesReissner-NordstromGeometric Inequalitieshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We study isoperimetric surfaces in the Reissner-Nordström spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.Fil: Aceña, Andrés Esteban. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; ArgentinaFil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Instituto de Física "Enrique Gaviola"; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaIOP Publishing2013-01-30info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/2787Aceña, Andrés Esteban; Dain, Sergio Alejandro; Stable isoperimetric surfaces in super-extreme Reissner-Nordström; IOP Publishing; Classical and Quantum Gravity; 30; 4; 30-1-2013; 45013-450130264-9381enginfo:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/30/4/045013info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0264-9381/30/4/045013/meta;jsessionid=D637E0C2C3772E2D2BD0E6B674A77BE6.c4.iopscience.cld.iop.orginfo:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T11:27:55Zoai:ri.conicet.gov.ar:11336/2787instacron: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:34982025-10-22 11:27:56.074CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Stable isoperimetric surfaces in super-extreme Reissner-Nordström
title Stable isoperimetric surfaces in super-extreme Reissner-Nordström
spellingShingle Stable isoperimetric surfaces in super-extreme Reissner-Nordström
Aceña, Andrés Esteban
Isoperimetric Surfaces
Reissner-Nordstrom
Geometric Inequalities
title_short Stable isoperimetric surfaces in super-extreme Reissner-Nordström
title_full Stable isoperimetric surfaces in super-extreme Reissner-Nordström
title_fullStr Stable isoperimetric surfaces in super-extreme Reissner-Nordström
title_full_unstemmed Stable isoperimetric surfaces in super-extreme Reissner-Nordström
title_sort Stable isoperimetric surfaces in super-extreme Reissner-Nordström
dc.creator.none.fl_str_mv Aceña, Andrés Esteban
Dain, Sergio Alejandro
author Aceña, Andrés Esteban
author_facet Aceña, Andrés Esteban
Dain, Sergio Alejandro
author_role author
author2 Dain, Sergio Alejandro
author2_role author
dc.subject.none.fl_str_mv Isoperimetric Surfaces
Reissner-Nordstrom
Geometric Inequalities
topic Isoperimetric Surfaces
Reissner-Nordstrom
Geometric Inequalities
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 isoperimetric surfaces in the Reissner-Nordström spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.
Fil: Aceña, Andrés Esteban. Universidad Nacional de Cuyo. Facultad de Ciencias Exactas y Naturales; Argentina
Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Córdoba. Instituto de Física "Enrique Gaviola"; Argentina. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description We study isoperimetric surfaces in the Reissner-Nordström spacetime, with emphasis on the cuasilocal inequality between area and charge. We analyze the stability of the isoperimetric spheres and we found that there is a lower bound on the area in terms of the charge, and that the inequality is saturated in the transition from the superextremal to the subextremal case. We also derive a general inequality between area and charge for stable isoperimetric surfaces in maximal electro-vacuum initial data.
publishDate 2013
dc.date.none.fl_str_mv 2013-01-30
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/11336/2787
Aceña, Andrés Esteban; Dain, Sergio Alejandro; Stable isoperimetric surfaces in super-extreme Reissner-Nordström; IOP Publishing; Classical and Quantum Gravity; 30; 4; 30-1-2013; 45013-45013
0264-9381
url http://hdl.handle.net/11336/2787
identifier_str_mv Aceña, Andrés Esteban; Dain, Sergio Alejandro; Stable isoperimetric surfaces in super-extreme Reissner-Nordström; IOP Publishing; Classical and Quantum Gravity; 30; 4; 30-1-2013; 45013-45013
0264-9381
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1088/0264-9381/30/4/045013
info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/0264-9381/30/4/045013/meta;jsessionid=D637E0C2C3772E2D2BD0E6B674A77BE6.c4.iopscience.cld.iop.org
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 12.982451

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