Bopp–Podolsky black holes and the no-hair theorem

Bopp–Podolsky electrodynamics is generalized to curved space-times. The equations of motion are writ- ten for the case of static spherically symmetric black holes and their exterior solutions are analyzed using Bekenstein’s method. It is shown that the solutions split up into two parts, namely a non...

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Detalhes bibliográficos
Autores: Medeiros, Léo Gouvêa, Cuzinatto, R.R., Melo, C.A.M., Pimentel, B.M., Pompeia, P.J.
Tipo de documento: artigo
Estado:Versão publicada
Data de publicação:2018
País:Brasil
Recursos:Universidade Federal do Rio Grande do Norte (UFRN)
Repositório:Repositório Institucional da UFRN
Idioma:inglês
OAI Identifier:oai:repositorio.ufrn.br:123456789/29898
Acesso em linha:https://repositorio.ufrn.br/jspui/handle/123456789/29898
Access Level:Acceso aberto
Palavra-chave:Bopp–Podolsky
Black holes
The no-hair theorem
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spelling Bopp–Podolsky black holes and the no-hair theoreminglesBopp–PodolskyBlack holesThe no-hair theoremBopp–Podolsky electrodynamics is generalized to curved space-times. The equations of motion are writ- ten for the case of static spherically symmetric black holes and their exterior solutions are analyzed using Bekenstein’s method. It is shown that the solutions split up into two parts, namely a non-homogeneous (asymptotically massless) regime and a homogeneous (asymptotically massive) sector which is null outside the event horizon. In addition, in the simplest approach to Bopp–Podolsky black holes, the non-homogeneous solutions are found to be Maxwell’s solutions leading to a Reissner–Nordström black hole. It is also demonstrated that the only exterior solution consistent with the weak and null energy conditions is the Maxwell one. Thus, in the light of the energy conditions, it is concluded that only Maxwell modes propagate outside the horizon and, therefore, the no-hair theorem is satisfied in the case of Bopp–Podolsky fields in spherically symmetric space-timesSpringerOpen2020-08-26T15:23:33Z2020-08-26T15:23:33Z2018-01info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfCUZINATTO, R. R.; MELO, C. A. M. ; MEDEIROS, L. G.; PIMENTEL, B. M.; POMPEIA, P. J.. Bopp–Podolsky black holes and the no-hair theorem. The European Physical Journal C, [s.l.], v. 78, n. 1, p. 43, jan. 2018. Disponível em: https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-5525-6. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1140/epjc/s10052-018-5525-6.1434-6044https://repositorio.ufrn.br/jspui/handle/123456789/2989810.1140/epjc/s10052-018-5525-6ark:/41046/001300000mghkAttribution 3.0 Brazilhttp://creativecommons.org/licenses/by/3.0/br/info:eu-repo/semantics/openAccessengreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNMedeiros, Léo GouvêaCuzinatto, R.R.Melo, C.A.M.Pimentel, B.M.Pompeia, P.J.2020-09-08T18:26:23Zoai:repositorio.ufrn.br:123456789/29898Repositório InstitucionalPUBhttp://repositorio.ufrn.br/oai/repositorio@bczm.ufrn.bropendoar:2020-09-08T18:26:23Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false
dc.title.none.fl_str_mv Bopp–Podolsky black holes and the no-hair theorem
ingles
title Bopp–Podolsky black holes and the no-hair theorem
spellingShingle Bopp–Podolsky black holes and the no-hair theorem
Medeiros, Léo Gouvêa
Bopp–Podolsky
Black holes
The no-hair theorem
title_short Bopp–Podolsky black holes and the no-hair theorem
title_full Bopp–Podolsky black holes and the no-hair theorem
title_fullStr Bopp–Podolsky black holes and the no-hair theorem
title_full_unstemmed Bopp–Podolsky black holes and the no-hair theorem
title_sort Bopp–Podolsky black holes and the no-hair theorem
dc.creator.none.fl_str_mv Medeiros, Léo Gouvêa
Cuzinatto, R.R.
Melo, C.A.M.
Pimentel, B.M.
Pompeia, P.J.
author Medeiros, Léo Gouvêa
author_facet Medeiros, Léo Gouvêa
Cuzinatto, R.R.
Melo, C.A.M.
Pimentel, B.M.
Pompeia, P.J.
author_role author
author2 Cuzinatto, R.R.
Melo, C.A.M.
Pimentel, B.M.
Pompeia, P.J.
author2_role author
author
author
author
dc.subject.por.fl_str_mv Bopp–Podolsky
Black holes
The no-hair theorem
topic Bopp–Podolsky
Black holes
The no-hair theorem
description Bopp–Podolsky electrodynamics is generalized to curved space-times. The equations of motion are writ- ten for the case of static spherically symmetric black holes and their exterior solutions are analyzed using Bekenstein’s method. It is shown that the solutions split up into two parts, namely a non-homogeneous (asymptotically massless) regime and a homogeneous (asymptotically massive) sector which is null outside the event horizon. In addition, in the simplest approach to Bopp–Podolsky black holes, the non-homogeneous solutions are found to be Maxwell’s solutions leading to a Reissner–Nordström black hole. It is also demonstrated that the only exterior solution consistent with the weak and null energy conditions is the Maxwell one. Thus, in the light of the energy conditions, it is concluded that only Maxwell modes propagate outside the horizon and, therefore, the no-hair theorem is satisfied in the case of Bopp–Podolsky fields in spherically symmetric space-times
publishDate 2018
dc.date.none.fl_str_mv 2018-01
2020-08-26T15:23:33Z
2020-08-26T15:23:33Z
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 CUZINATTO, R. R.; MELO, C. A. M. ; MEDEIROS, L. G.; PIMENTEL, B. M.; POMPEIA, P. J.. Bopp–Podolsky black holes and the no-hair theorem. The European Physical Journal C, [s.l.], v. 78, n. 1, p. 43, jan. 2018. Disponível em: https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-5525-6. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1140/epjc/s10052-018-5525-6.
1434-6044
https://repositorio.ufrn.br/jspui/handle/123456789/29898
10.1140/epjc/s10052-018-5525-6
dc.identifier.dark.fl_str_mv ark:/41046/001300000mghk
identifier_str_mv CUZINATTO, R. R.; MELO, C. A. M. ; MEDEIROS, L. G.; PIMENTEL, B. M.; POMPEIA, P. J.. Bopp–Podolsky black holes and the no-hair theorem. The European Physical Journal C, [s.l.], v. 78, n. 1, p. 43, jan. 2018. Disponível em: https://link.springer.com/article/10.1140%2Fepjc%2Fs10052-018-5525-6. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1140/epjc/s10052-018-5525-6.
1434-6044
10.1140/epjc/s10052-018-5525-6
ark:/41046/001300000mghk
url https://repositorio.ufrn.br/jspui/handle/123456789/29898
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv Attribution 3.0 Brazil
http://creativecommons.org/licenses/by/3.0/br/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv Attribution 3.0 Brazil
http://creativecommons.org/licenses/by/3.0/br/
eu_rights_str_mv openAccess
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dc.publisher.none.fl_str_mv SpringerOpen
publisher.none.fl_str_mv SpringerOpen
dc.source.none.fl_str_mv reponame:Repositório Institucional da UFRN
instname:Universidade Federal do Rio Grande do Norte (UFRN)
instacron:UFRN
instname_str Universidade Federal do Rio Grande do Norte (UFRN)
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collection Repositório Institucional da UFRN
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