Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon

Detalhes bibliográficos
Autor(a) principal: Costa, João L.
Data de Publicação: 2020
Outros Autores: Girão, Pedro M.
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10071/20767
Resumo: We consider smooth solutions of the wave equation, on a fixed black hole region of a subextremal Reissner–Nordström (asymptotically flat, de Sitter or anti-de Sitter) spacetime, whose restrictions to the event horizon have compact support. We provide criteria, in terms of surface gravities, for the waves to remain in Cl, l⩾ 1 , up to and including the Cauchy horizon. We also provide sufficient conditions for the blow up of solutions in C1 and H1.
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spelling Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizonWave equationBlack holesPositive cosmological constantWe consider smooth solutions of the wave equation, on a fixed black hole region of a subextremal Reissner–Nordström (asymptotically flat, de Sitter or anti-de Sitter) spacetime, whose restrictions to the event horizon have compact support. We provide criteria, in terms of surface gravities, for the waves to remain in Cl, l⩾ 1 , up to and including the Cauchy horizon. We also provide sufficient conditions for the blow up of solutions in C1 and H1.Springer2021-08-26T00:00:00Z2020-01-01T00:00:00Z20202020-10-02T09:57:07Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10071/20767eng1664-236810.1007/s13324-020-00380-5Costa, João L.Girão, Pedro M.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:RCAAP2023-11-09T18:00:02Zoai:repositorio.iscte-iul.pt:10071/20767Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T22:31:42.793966Repositório 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 Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
title Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
spellingShingle Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
Costa, João L.
Wave equation
Black holes
Positive cosmological constant
title_short Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
title_full Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
title_fullStr Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
title_full_unstemmed Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
title_sort Higher order linear stability and instability of Reissner–Nordström’s Cauchy horizon
author Costa, João L.
author_facet Costa, João L.
Girão, Pedro M.
author_role author
author2 Girão, Pedro M.
author2_role author
dc.contributor.author.fl_str_mv Costa, João L.
Girão, Pedro M.
dc.subject.por.fl_str_mv Wave equation
Black holes
Positive cosmological constant
topic Wave equation
Black holes
Positive cosmological constant
description We consider smooth solutions of the wave equation, on a fixed black hole region of a subextremal Reissner–Nordström (asymptotically flat, de Sitter or anti-de Sitter) spacetime, whose restrictions to the event horizon have compact support. We provide criteria, in terms of surface gravities, for the waves to remain in Cl, l⩾ 1 , up to and including the Cauchy horizon. We also provide sufficient conditions for the blow up of solutions in C1 and H1.
publishDate 2020
dc.date.none.fl_str_mv 2020-01-01T00:00:00Z
2020
2020-10-02T09:57:07Z
2021-08-26T00:00:00Z
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/10071/20767
url http://hdl.handle.net/10071/20767
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1664-2368
10.1007/s13324-020-00380-5
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 Springer
publisher.none.fl_str_mv Springer
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
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