The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies

Detalhes bibliográficos
Autor(a) principal: Alho, Artur
Data de Publicação: 2017
Outros Autores: Mena, Filipe C., Valiente, Juan
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/47156
Resumo: A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein-Euler system. The resulting evolution system is used to show that small nonlinear perturbations of expanding Friedman-Lemaˆıtre-Robertson-Walker backgrounds, with scalar field potentials satisfying certain future asymptotic conditions, decay exponentially to zero, in synchronous time.
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spelling The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologiesCiências Naturais::MatemáticasScience & TechnologyA frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein-Euler system. The resulting evolution system is used to show that small nonlinear perturbations of expanding Friedman-Lemaˆıtre-Robertson-Walker backgrounds, with scalar field potentials satisfying certain future asymptotic conditions, decay exponentially to zero, in synchronous time.AA and FM were supported by projects PTDC/MAT/108921/2008, CERN/FP/123609/2011 and PTDC/MAT-ANA/1275/2014 and by CMAT, Univ. Minho, through FEDER Funds COMPETE and FCT Project Est-OE/MAT/UI0013/2014. AA thanks the Relativity Group at the School of Mathematical Sciences, Queen Mary, University of London, for their warm hospitality while most of this work was done 24 and FCT for grant SFRH/BD/48658/2008. JAVK was supported by an EPSRC Advanced Research Fellowship and by a project research grant from the Leverhulme Trust (F/07 476/AI). JAVK thanks the Centre of Mathematics of the University of Minho for its hospitality.info:eu-repo/semantics/publishedVersionInternational PressUniversidade do MinhoAlho, ArturMena, Filipe C.Valiente, Juan2017-092017-09-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/47156eng1095-07611095-075310.4310/ATMP.2017.v21.n4.a1info: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:RCAAP2024-05-11T07:07:03Zoai:repositorium.sdum.uminho.pt:1822/47156Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-05-11T07:07:03Repositório 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 The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
title The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
spellingShingle The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
Alho, Artur
Ciências Naturais::Matemáticas
Science & Technology
title_short The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
title_full The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
title_fullStr The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
title_full_unstemmed The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
title_sort The Einstein-Friedrich-nonlinear scalar field system and the stability of scalar field cosmologies
author Alho, Artur
author_facet Alho, Artur
Mena, Filipe C.
Valiente, Juan
author_role author
author2 Mena, Filipe C.
Valiente, Juan
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Alho, Artur
Mena, Filipe C.
Valiente, Juan
dc.subject.por.fl_str_mv Ciências Naturais::Matemáticas
Science & Technology
topic Ciências Naturais::Matemáticas
Science & Technology
description A frame representation is used to derive a first order quasi-linear symmetric hyperbolic system for a scalar field minimally coupled to gravity. This procedure is inspired by similar evolution equations introduced by Friedrich to study the Einstein-Euler system. The resulting evolution system is used to show that small nonlinear perturbations of expanding Friedman-Lemaˆıtre-Robertson-Walker backgrounds, with scalar field potentials satisfying certain future asymptotic conditions, decay exponentially to zero, in synchronous time.
publishDate 2017
dc.date.none.fl_str_mv 2017-09
2017-09-01T00:00:00Z
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/1822/47156
url http://hdl.handle.net/1822/47156
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1095-0761
1095-0753
10.4310/ATMP.2017.v21.n4.a1
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 International Press
publisher.none.fl_str_mv International Press
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
instacron:RCAAP
instname_str Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação
instacron_str RCAAP
institution RCAAP
reponame_str Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
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
repository.mail.fl_str_mv mluisa.alvim@gmail.com
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