Penrose-like inequality with angular momentum for minimal surfaces

Autores
Anglada, Pablo Ruben
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.
Fil: Anglada, Pablo Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
Materia
Angular Momentum
Axial Symmetry
Imcf
Minimal Surfaces
Penrose Inequality
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:11336/64774
Acceder
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network_name_str CONICET Digital (CONICET)
spelling Penrose-like inequality with angular momentum for minimal surfacesAnglada, Pablo RubenAngular MomentumAxial SymmetryImcfMinimal SurfacesPenrose Inequalityhttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1In axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.Fil: Anglada, Pablo Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; ArgentinaIOP Publishing2018-01info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/64774Anglada, Pablo Ruben; Penrose-like inequality with angular momentum for minimal surfaces; IOP Publishing; Classical and Quantum Gravity; 35; 4; 1-2018; 1-130264-93811361-6382CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1361-6382/aaa0a6info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6382/aaa0a6info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1708.04646info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-11-05T10:14:00Zoai:ri.conicet.gov.ar:11336/64774instacron: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:34982025-11-05 10:14:00.995CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Penrose-like inequality with angular momentum for minimal surfaces
title Penrose-like inequality with angular momentum for minimal surfaces
spellingShingle Penrose-like inequality with angular momentum for minimal surfaces
Anglada, Pablo Ruben
Angular Momentum
Axial Symmetry
Imcf
Minimal Surfaces
Penrose Inequality
title_short Penrose-like inequality with angular momentum for minimal surfaces
title_full Penrose-like inequality with angular momentum for minimal surfaces
title_fullStr Penrose-like inequality with angular momentum for minimal surfaces
title_full_unstemmed Penrose-like inequality with angular momentum for minimal surfaces
title_sort Penrose-like inequality with angular momentum for minimal surfaces
dc.creator.none.fl_str_mv Anglada, Pablo Ruben
author Anglada, Pablo Ruben
author_facet Anglada, Pablo Ruben
author_role author
dc.subject.none.fl_str_mv Angular Momentum
Axial Symmetry
Imcf
Minimal Surfaces
Penrose Inequality
topic Angular Momentum
Axial Symmetry
Imcf
Minimal Surfaces
Penrose Inequality
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 axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.
Fil: Anglada, Pablo Ruben. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Instituto de Física Enrique Gaviola. Universidad Nacional de Córdoba. Instituto de Física Enrique Gaviola; Argentina
description In axially symmetric spacetimes the Penrose inequality can be strengthened to include angular momentum. We prove a version of this inequality for minimal surfaces, more precisely, a lower bound for the ADM mass in terms of the area of a minimal surface, the angular momentum and a particular measure of the surface size. We consider axially symmetric and asymptotically flat initial data, and use the monotonicity of the Geroch quasi-local energy on 2-surfaces along the inverse mean curvature flow.
publishDate 2018
dc.date.none.fl_str_mv 2018-01
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/11336/64774
Anglada, Pablo Ruben; Penrose-like inequality with angular momentum for minimal surfaces; IOP Publishing; Classical and Quantum Gravity; 35; 4; 1-2018; 1-13
0264-9381
1361-6382
CONICET Digital
CONICET
url http://hdl.handle.net/11336/64774
identifier_str_mv Anglada, Pablo Ruben; Penrose-like inequality with angular momentum for minimal surfaces; IOP Publishing; Classical and Quantum Gravity; 35; 4; 1-2018; 1-13
0264-9381
1361-6382
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/http://iopscience.iop.org/article/10.1088/1361-6382/aaa0a6
info:eu-repo/semantics/altIdentifier/doi/10.1088/1361-6382/aaa0a6
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1708.04646
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
_version_ 1847977690276036608
score 13.084122

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