Spherical linear waves in de Sitter spacetime

Detalhes bibliográficos
Autor(a) principal: Costa, João
Data de Publicação: 2012
Outros Autores: Alho, Artur, Natário, José
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/24470
Resumo: We apply Christodoulou's framework, developed to study the Einstein-scalar eld equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a rst step towards the Einstein-scalar eld equations with positive cosmological constant. We obtain an integro-di erential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain elementary derivations of expected properties of linear waves in de Sitter spacetime: boundedness in terms of (characteristic) initial data, and a Price law establishing uniform exponential decay, in Bondi time, to a constant.
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spelling Spherical linear waves in de Sitter spacetimeScience & TechnologyWe apply Christodoulou's framework, developed to study the Einstein-scalar eld equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a rst step towards the Einstein-scalar eld equations with positive cosmological constant. We obtain an integro-di erential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain elementary derivations of expected properties of linear waves in de Sitter spacetime: boundedness in terms of (characteristic) initial data, and a Price law establishing uniform exponential decay, in Bondi time, to a constant.This work was supported by Project Nos. PTDC/MAT/108921/2008 and CERN/FP/116377/2010, and by CMAT, Universidade do Minho, and CAMSDG, Instituto Superior Tecnico, through FCT plurianual funding. A.A. thanks the Mathematics Department of Instituto Superior Tecnico (Lisbon), where this work was done, for hospitality, and FCT for Grant No. SFRH/BD/48658/2008.AIP PublishingUniversidade do MinhoCosta, JoãoAlho, ArturNatário, José20122012-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/24470eng0022-248810.1063/1.4721644http://jmp.aip.org/resource/1/jmapaq/v53/i5/p052501_s1info: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:RCAAP2023-07-21T12:24:07Zoai:repositorium.sdum.uminho.pt:1822/24470Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:18:01.651243Repositório 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 Spherical linear waves in de Sitter spacetime
title Spherical linear waves in de Sitter spacetime
spellingShingle Spherical linear waves in de Sitter spacetime
Costa, João
Science & Technology
title_short Spherical linear waves in de Sitter spacetime
title_full Spherical linear waves in de Sitter spacetime
title_fullStr Spherical linear waves in de Sitter spacetime
title_full_unstemmed Spherical linear waves in de Sitter spacetime
title_sort Spherical linear waves in de Sitter spacetime
author Costa, João
author_facet Costa, João
Alho, Artur
Natário, José
author_role author
author2 Alho, Artur
Natário, José
author2_role author
author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Costa, João
Alho, Artur
Natário, José
dc.subject.por.fl_str_mv Science & Technology
topic Science & Technology
description We apply Christodoulou's framework, developed to study the Einstein-scalar eld equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a rst step towards the Einstein-scalar eld equations with positive cosmological constant. We obtain an integro-di erential evolution equation which we solve by taking initial data on a null cone. As a corollary we obtain elementary derivations of expected properties of linear waves in de Sitter spacetime: boundedness in terms of (characteristic) initial data, and a Price law establishing uniform exponential decay, in Bondi time, to a constant.
publishDate 2012
dc.date.none.fl_str_mv 2012
2012-01-01T00:00:00Z
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/1822/24470
url http://hdl.handle.net/1822/24470
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-2488
10.1063/1.4721644
http://jmp.aip.org/resource/1/jmapaq/v53/i5/p052501_s1
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 AIP Publishing
publisher.none.fl_str_mv AIP Publishing
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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