Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure

Detalhes bibliográficos
Autor(a) principal: Brito, Irene
Data de Publicação: 2017
Outros Autores: Mena, Filipe C.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/46983
Resumo: We prove that, for a given spherically symmetric fluid distribution with tangential pressure on an initial spacelike hypersurface with a timelike boundary, there exists a unique, local in time solution to the Einstein equations in a neighbourhood of the boundary. As an application, we consider a particular elastic fluid interior matched to a vacuum exterior.
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spelling Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressureEinstein equationsGeneral RelativityInitial boundary value problemsSelf-gravitating systemsSpacetime matchingElasticityScience & TechnologyWe prove that, for a given spherically symmetric fluid distribution with tangential pressure on an initial spacelike hypersurface with a timelike boundary, there exists a unique, local in time solution to the Einstein equations in a neighbourhood of the boundary. As an application, we consider a particular elastic fluid interior matched to a vacuum exterior.This work was supported by CMAT, Univ. Minho, through FEDER funds COMPETE and FCT Projects Est-OE/MAT/UI0013/2014 and PTDC/MAT-ANA/1275/2014.info:eu-repo/semantics/publishedVersionRoyal SocietyUniversidade do MinhoBrito, IreneMena, Filipe C.20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/46983eng1364-50211471-294610.1098/rspa.2017.0113The original publication is available at http://rspa.royalsocietypublishing.org/content/473/2204/20170113info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2023-07-21T12:22:01Zoai:repositorium.sdum.uminho.pt:1822/46983Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:15:26.111770Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse
dc.title.none.fl_str_mv Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
title Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
spellingShingle Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
Brito, Irene
Einstein equations
General Relativity
Initial boundary value problems
Self-gravitating systems
Spacetime matching
Elasticity
Science & Technology
title_short Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
title_full Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
title_fullStr Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
title_full_unstemmed Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
title_sort Initial boundary value problem for the spherically symmetric Einstein equations with fluids with tangential pressure
author Brito, Irene
author_facet Brito, Irene
Mena, Filipe C.
author_role author
author2 Mena, Filipe C.
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Brito, Irene
Mena, Filipe C.
dc.subject.por.fl_str_mv Einstein equations
General Relativity
Initial boundary value problems
Self-gravitating systems
Spacetime matching
Elasticity
Science & Technology
topic Einstein equations
General Relativity
Initial boundary value problems
Self-gravitating systems
Spacetime matching
Elasticity
Science & Technology
description We prove that, for a given spherically symmetric fluid distribution with tangential pressure on an initial spacelike hypersurface with a timelike boundary, there exists a unique, local in time solution to the Einstein equations in a neighbourhood of the boundary. As an application, we consider a particular elastic fluid interior matched to a vacuum exterior.
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
dc.type.status.fl_str_mv info:eu-repo/semantics/publishedVersion
dc.type.driver.fl_str_mv info:eu-repo/semantics/article
format article
status_str publishedVersion
dc.identifier.uri.fl_str_mv http://hdl.handle.net/1822/46983
url http://hdl.handle.net/1822/46983
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1364-5021
1471-2946
10.1098/rspa.2017.0113
The original publication is available at http://rspa.royalsocietypublishing.org/content/473/2204/20170113
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Royal Society
publisher.none.fl_str_mv Royal Society
dc.source.none.fl_str_mv reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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collection Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
repository.name.fl_str_mv Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
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