Lower bounds for the area of black holes in terms of mass, charge, and angular momentum

Autores
Dain, Sergio Alejandro; Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio
Año de publicación
2013
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
The most general formulation of Penrose’s inequality yields a lower bound for Arnowitt-Deser-Misner mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in terms of the remaining quantities. In this paper, we establish the lower bound for a single black hole in the setting of axisymmetric maximal initial data sets for the Einstein-Maxwell equations, when the non-electromagnetic matter fields are not charged and satisfy the dominant energy condition. It is shown that the inequality is saturated if and only if the initial data arise from the extreme Kerr-Newman spacetime. Further refinements are given when either charge or angular momentum vanish. Last, we discuss the validity of the lower bound in the presence of multiple black holes.
Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Cordoba. Instituto de Fisica Enrique Gaviola;
Fil: Khuri, Marcus. Department of Mathematics. Stony Brook University; United States of America;
Fil: Weinstein, Gilbert. Department of Physics. Department of Computer Science and Mathematics. Ariel University of Samaria; Israel;
Fil: Yamada, Sumio. Department of Mathematics. Gakushuin University; Japan;
Materia
Lower bounds
area
angular momentum
black holes
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:11336/600
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/600
network_acronym_str CONICETDig
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network_name_str CONICET Digital (CONICET)
spelling Lower bounds for the area of black holes in terms of mass, charge, and angular momentumDain, Sergio AlejandroKhuri, MarcusWeinstein, GilbertYamada, SumioLower boundsareaangular momentumblack holeshttps://purl.org/becyt/ford/1https://purl.org/becyt/ford/1.3The most general formulation of Penrose’s inequality yields a lower bound for Arnowitt-Deser-Misner mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in terms of the remaining quantities. In this paper, we establish the lower bound for a single black hole in the setting of axisymmetric maximal initial data sets for the Einstein-Maxwell equations, when the non-electromagnetic matter fields are not charged and satisfy the dominant energy condition. It is shown that the inequality is saturated if and only if the initial data arise from the extreme Kerr-Newman spacetime. Further refinements are given when either charge or angular momentum vanish. Last, we discuss the validity of the lower bound in the presence of multiple black holes.Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Cordoba. Instituto de Fisica Enrique Gaviola;Fil: Khuri, Marcus. Department of Mathematics. Stony Brook University; United States of America;Fil: Weinstein, Gilbert. Department of Physics. Department of Computer Science and Mathematics. Ariel University of Samaria; Israel;Fil: Yamada, Sumio. Department of Mathematics. Gakushuin University; Japan;Amer Physical Soc2013-06info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/600Dain, Sergio Alejandro; Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio; Lower bounds for the area of black holes in terms of mass, charge, and angular momentum; Amer Physical Soc; Physical Review D; 88; 6-2013; 24048-1-24048-7;1550-7998enginfo:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.88.024048info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-10T13:08:52Zoai:ri.conicet.gov.ar:11336/600instacron: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 13:08:53.205CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
title Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
spellingShingle Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
Dain, Sergio Alejandro
Lower bounds
area
angular momentum
black holes
title_short Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
title_full Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
title_fullStr Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
title_full_unstemmed Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
title_sort Lower bounds for the area of black holes in terms of mass, charge, and angular momentum
dc.creator.none.fl_str_mv Dain, Sergio Alejandro
Khuri, Marcus
Weinstein, Gilbert
Yamada, Sumio
author Dain, Sergio Alejandro
author_facet Dain, Sergio Alejandro
Khuri, Marcus
Weinstein, Gilbert
Yamada, Sumio
author_role author
author2 Khuri, Marcus
Weinstein, Gilbert
Yamada, Sumio
author2_role author
author
author
dc.subject.none.fl_str_mv Lower bounds
area
angular momentum
black holes
topic Lower bounds
area
angular momentum
black holes
purl_subject.fl_str_mv https://purl.org/becyt/ford/1
https://purl.org/becyt/ford/1.3
dc.description.none.fl_txt_mv The most general formulation of Penrose’s inequality yields a lower bound for Arnowitt-Deser-Misner mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in terms of the remaining quantities. In this paper, we establish the lower bound for a single black hole in the setting of axisymmetric maximal initial data sets for the Einstein-Maxwell equations, when the non-electromagnetic matter fields are not charged and satisfy the dominant energy condition. It is shown that the inequality is saturated if and only if the initial data arise from the extreme Kerr-Newman spacetime. Further refinements are given when either charge or angular momentum vanish. Last, we discuss the validity of the lower bound in the presence of multiple black holes.
Fil: Dain, Sergio Alejandro. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico - CONICET - Cordoba. Instituto de Fisica Enrique Gaviola;
Fil: Khuri, Marcus. Department of Mathematics. Stony Brook University; United States of America;
Fil: Weinstein, Gilbert. Department of Physics. Department of Computer Science and Mathematics. Ariel University of Samaria; Israel;
Fil: Yamada, Sumio. Department of Mathematics. Gakushuin University; Japan;
description The most general formulation of Penrose’s inequality yields a lower bound for Arnowitt-Deser-Misner mass in terms of the area, charge, and angular momentum of black holes. This inequality is in turn equivalent to an upper and lower bound for the area in terms of the remaining quantities. In this paper, we establish the lower bound for a single black hole in the setting of axisymmetric maximal initial data sets for the Einstein-Maxwell equations, when the non-electromagnetic matter fields are not charged and satisfy the dominant energy condition. It is shown that the inequality is saturated if and only if the initial data arise from the extreme Kerr-Newman spacetime. Further refinements are given when either charge or angular momentum vanish. Last, we discuss the validity of the lower bound in the presence of multiple black holes.
publishDate 2013
dc.date.none.fl_str_mv 2013-06
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/11336/600
Dain, Sergio Alejandro; Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio; Lower bounds for the area of black holes in terms of mass, charge, and angular momentum; Amer Physical Soc; Physical Review D; 88; 6-2013; 24048-1-24048-7;
1550-7998
url http://hdl.handle.net/11336/600
identifier_str_mv Dain, Sergio Alejandro; Khuri, Marcus; Weinstein, Gilbert; Yamada, Sumio; Lower bounds for the area of black holes in terms of mass, charge, and angular momentum; Amer Physical Soc; Physical Review D; 88; 6-2013; 24048-1-24048-7;
1550-7998
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/doi/10.1103/PhysRevD.88.024048
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 Amer Physical Soc
publisher.none.fl_str_mv Amer Physical Soc
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 12.993085

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