Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime

Autores
Aceña, Andrés Esteban
Año de publicación
2020
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We consider the spacetime presented by Bonnor in 1998, whose matter content is a spheroid of electrically counterpoised dust, in the context of the geometrical inequalities between area and charge. We determine numerically the constant mean curvature surfaces that are candidates to be stable isoperimetric surfaces and analyze the relation between area and charge for them, showing that both a previously proved inequality and a conjectured inequality are far from being saturated. We also show that the maximal initial data has a cylindrical limit where the minimum of the area-charge relation is attained.
Fil: Aceña, Andrés Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza. Instituto Interdisciplinario de Ciencias Básicas. - Universidad Nacional de Cuyo. Instituto Interdisciplinario de Ciencias Básicas; Argentina
Materia
electrically counterpoised dust
geometrical inequalities
isoperimetric surfaces
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:11336/139792
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/139792
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network_name_str CONICET Digital (CONICET)
spelling Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetimeAceña, Andrés Estebanelectrically counterpoised dustgeometrical inequalitiesisoperimetric surfaceshttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1We consider the spacetime presented by Bonnor in 1998, whose matter content is a spheroid of electrically counterpoised dust, in the context of the geometrical inequalities between area and charge. We determine numerically the constant mean curvature surfaces that are candidates to be stable isoperimetric surfaces and analyze the relation between area and charge for them, showing that both a previously proved inequality and a conjectured inequality are far from being saturated. We also show that the maximal initial data has a cylindrical limit where the minimum of the area-charge relation is attained.Fil: Aceña, Andrés Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza. Instituto Interdisciplinario de Ciencias Básicas. - Universidad Nacional de Cuyo. Instituto Interdisciplinario de Ciencias Básicas; ArgentinaAmerican Physical Society2020-11info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/139792Aceña, Andrés Esteban; Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime; American Physical Society; Physical Review D; 102; 10; 11-2020; 1-92470-0029CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.104046info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.102.104046info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:25:08Zoai:ri.conicet.gov.ar:11336/139792instacron: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:34982025-09-10 13:25:08.975CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
title Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
spellingShingle Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
Aceña, Andrés Esteban
electrically counterpoised dust
geometrical inequalities
isoperimetric surfaces
title_short Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
title_full Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
title_fullStr Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
title_full_unstemmed Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
title_sort Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime
dc.creator.none.fl_str_mv Aceña, Andrés Esteban
author Aceña, Andrés Esteban
author_facet Aceña, Andrés Esteban
author_role author
dc.subject.none.fl_str_mv electrically counterpoised dust
geometrical inequalities
isoperimetric surfaces
topic electrically counterpoised dust
geometrical inequalities
isoperimetric surfaces
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 consider the spacetime presented by Bonnor in 1998, whose matter content is a spheroid of electrically counterpoised dust, in the context of the geometrical inequalities between area and charge. We determine numerically the constant mean curvature surfaces that are candidates to be stable isoperimetric surfaces and analyze the relation between area and charge for them, showing that both a previously proved inequality and a conjectured inequality are far from being saturated. We also show that the maximal initial data has a cylindrical limit where the minimum of the area-charge relation is attained.
Fil: Aceña, Andrés Esteban. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Mendoza. Instituto Interdisciplinario de Ciencias Básicas. - Universidad Nacional de Cuyo. Instituto Interdisciplinario de Ciencias Básicas; Argentina
description We consider the spacetime presented by Bonnor in 1998, whose matter content is a spheroid of electrically counterpoised dust, in the context of the geometrical inequalities between area and charge. We determine numerically the constant mean curvature surfaces that are candidates to be stable isoperimetric surfaces and analyze the relation between area and charge for them, showing that both a previously proved inequality and a conjectured inequality are far from being saturated. We also show that the maximal initial data has a cylindrical limit where the minimum of the area-charge relation is attained.
publishDate 2020
dc.date.none.fl_str_mv 2020-11
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/11336/139792
Aceña, Andrés Esteban; Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime; American Physical Society; Physical Review D; 102; 10; 11-2020; 1-9
2470-0029
CONICET Digital
CONICET
url http://hdl.handle.net/11336/139792
identifier_str_mv Aceña, Andrés Esteban; Constant mean curvature surfaces and area-charge inequality for a spheroidal electrically counterpoised dust spacetime; American Physical Society; Physical Review D; 102; 10; 11-2020; 1-9
2470-0029
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://journals.aps.org/prd/abstract/10.1103/PhysRevD.102.104046
info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.102.104046
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 American Physical Society
publisher.none.fl_str_mv American Physical Society
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 12.493442

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