Spherical linear waves in de Sitter spacetime

Detalhes bibliográficos
Autor(a) principal: Costa, J. L.
Data de Publicação: 2012
Outros Autores: Alho, A., Natário, J.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: https://ciencia.iscte-iul.pt/id/ci-pub-12700
http://hdl.handle.net/10071/14159
Resumo: We apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential 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 spacetimeWe apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential 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.American Institute of Physics2017-07-27T09:35:14Z2012-01-01T00:00:00Z20122017-07-27T09:33:54Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttps://ciencia.iscte-iul.pt/id/ci-pub-12700http://hdl.handle.net/10071/14159eng0022-248810.1063/1.4721644Costa, J. L.Alho, A.Natário, J.info: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:RCAAP2023-11-09T17:58:08Zoai:repositorio.iscte-iul.pt:10071/14159Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:30:11.492689Repositório 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, J. L.
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, J. L.
author_facet Costa, J. L.
Alho, A.
Natário, J.
author_role author
author2 Alho, A.
Natário, J.
author2_role author
author
dc.contributor.author.fl_str_mv Costa, J. L.
Alho, A.
Natário, J.
description We apply Christodoulou's framework, developed to study the Einstein-scalar field equations in spherical symmetry, to the linear wave equation in de Sitter spacetime, as a first step towards the Einstein-scalar field equations with positive cosmological constant. We obtain an integro-differential 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 2012-01-01T00:00:00Z
2012
2017-07-27T09:35:14Z
2017-07-27T09:33:54Z
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 https://ciencia.iscte-iul.pt/id/ci-pub-12700
http://hdl.handle.net/10071/14159
url https://ciencia.iscte-iul.pt/id/ci-pub-12700
http://hdl.handle.net/10071/14159
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 0022-2488
10.1063/1.4721644
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 American Institute of Physics
publisher.none.fl_str_mv American Institute of Physics
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
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