Geometrical inequalities bounding angular momentum and charges in General Relativity

Autores
Dain, Sergio Alejandro; Gabach Clement, Maria Eugenia
Año de publicación
2018
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much electric charge. In this article, we are interested in bounds on the angular momentum and electromagnetic charges, in terms of total mass and size. We are mainly concerned with inequalities for black holes and ordinary objects. The former are the most studied systems in this context in General Relativity, and where most results have been found. Ordinary objects, on the other hand, present numerous challenges and many basic questions concerning geometrical estimates for them are still unanswered. We present the many results in these areas. We make emphasis in identifying the mathematical conditions that lead to such estimates, both for black holes and ordinary objects.
Fil: Dain, Sergio Alejandro. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Gabach Clement, Maria Eugenia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
BLACK HOLES
GEOMETRICAL INEQUALITIES
ORDINARY OBJECTS
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/91695

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spelling Geometrical inequalities bounding angular momentum and charges in General RelativityDain, Sergio AlejandroGabach Clement, Maria EugeniaBLACK HOLESGEOMETRICAL INEQUALITIESORDINARY OBJECTShttps://purl.org/becyt/ford/1.3https://purl.org/becyt/ford/1Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much electric charge. In this article, we are interested in bounds on the angular momentum and electromagnetic charges, in terms of total mass and size. We are mainly concerned with inequalities for black holes and ordinary objects. The former are the most studied systems in this context in General Relativity, and where most results have been found. Ordinary objects, on the other hand, present numerous challenges and many basic questions concerning geometrical estimates for them are still unanswered. We present the many results in these areas. We make emphasis in identifying the mathematical conditions that lead to such estimates, both for black holes and ordinary objects.Fil: Dain, Sergio Alejandro. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaFil: Gabach Clement, Maria Eugenia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaMax Planck Institut Gravitational Physics-albert Einstein Institute2018-12-05info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/91695Dain, Sergio Alejandro; Gabach Clement, Maria Eugenia; Geometrical inequalities bounding angular momentum and charges in General Relativity; Max Planck Institut Gravitational Physics-albert Einstein Institute; Living Reviews In Relativity; 21; 5; 5-12-2018; 1-751433-8351CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://link.springer.com/article/10.1007/s41114-018-0014-7info:eu-repo/semantics/altIdentifier/doi/10.1007/s41114-018-0014-7info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1710.04457info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-nd/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-09-03T09:55:45Zoai:ri.conicet.gov.ar:11336/91695instacron: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:34982025-09-03 09:55:46.158CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Geometrical inequalities bounding angular momentum and charges in General Relativity
title Geometrical inequalities bounding angular momentum and charges in General Relativity
spellingShingle Geometrical inequalities bounding angular momentum and charges in General Relativity
Dain, Sergio Alejandro
BLACK HOLES
GEOMETRICAL INEQUALITIES
ORDINARY OBJECTS
title_short Geometrical inequalities bounding angular momentum and charges in General Relativity
title_full Geometrical inequalities bounding angular momentum and charges in General Relativity
title_fullStr Geometrical inequalities bounding angular momentum and charges in General Relativity
title_full_unstemmed Geometrical inequalities bounding angular momentum and charges in General Relativity
title_sort Geometrical inequalities bounding angular momentum and charges in General Relativity
dc.creator.none.fl_str_mv Dain, Sergio Alejandro
Gabach Clement, Maria Eugenia
author Dain, Sergio Alejandro
author_facet Dain, Sergio Alejandro
Gabach Clement, Maria Eugenia
author_role author
author2 Gabach Clement, Maria Eugenia
author2_role author
dc.subject.none.fl_str_mv BLACK HOLES
GEOMETRICAL INEQUALITIES
ORDINARY OBJECTS
topic BLACK HOLES
GEOMETRICAL INEQUALITIES
ORDINARY OBJECTS
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.3
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much electric charge. In this article, we are interested in bounds on the angular momentum and electromagnetic charges, in terms of total mass and size. We are mainly concerned with inequalities for black holes and ordinary objects. The former are the most studied systems in this context in General Relativity, and where most results have been found. Ordinary objects, on the other hand, present numerous challenges and many basic questions concerning geometrical estimates for them are still unanswered. We present the many results in these areas. We make emphasis in identifying the mathematical conditions that lead to such estimates, both for black holes and ordinary objects.
Fil: Dain, Sergio Alejandro. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Fil: Gabach Clement, Maria Eugenia. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description Geometrical inequalities show how certain parameters of a physical system set restrictions on other parameters. For instance, a black hole of given mass can not rotate too fast, or an ordinary object of given size can not have too much electric charge. In this article, we are interested in bounds on the angular momentum and electromagnetic charges, in terms of total mass and size. We are mainly concerned with inequalities for black holes and ordinary objects. The former are the most studied systems in this context in General Relativity, and where most results have been found. Ordinary objects, on the other hand, present numerous challenges and many basic questions concerning geometrical estimates for them are still unanswered. We present the many results in these areas. We make emphasis in identifying the mathematical conditions that lead to such estimates, both for black holes and ordinary objects.
publishDate 2018
dc.date.none.fl_str_mv 2018-12-05
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/11336/91695
Dain, Sergio Alejandro; Gabach Clement, Maria Eugenia; Geometrical inequalities bounding angular momentum and charges in General Relativity; Max Planck Institut Gravitational Physics-albert Einstein Institute; Living Reviews In Relativity; 21; 5; 5-12-2018; 1-75
1433-8351
CONICET Digital
CONICET
url http://hdl.handle.net/11336/91695
identifier_str_mv Dain, Sergio Alejandro; Gabach Clement, Maria Eugenia; Geometrical inequalities bounding angular momentum and charges in General Relativity; Max Planck Institut Gravitational Physics-albert Einstein Institute; Living Reviews In Relativity; 21; 5; 5-12-2018; 1-75
1433-8351
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://link.springer.com/article/10.1007/s41114-018-0014-7
info:eu-repo/semantics/altIdentifier/doi/10.1007/s41114-018-0014-7
info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1710.04457
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-nd/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
application/pdf
dc.publisher.none.fl_str_mv Max Planck Institut Gravitational Physics-albert Einstein Institute
publisher.none.fl_str_mv Max Planck Institut Gravitational Physics-albert Einstein Institute
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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