De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology
Autor(a) principal: | |
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Data de Publicação: | 2017 |
Outros Autores: | , , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Institucional da UFRN |
Texto Completo: | https://repositorio.ufrn.br/jspui/handle/123456789/29907 |
Resumo: | We investigate the influence of massive photons on the evolution of the expanding universe. Two particular models for generalized electrodynamics are considered, namely de Broglie-Proca and Bopp-Podolsky electrodynamics. We obtain the equation of state (EOS) $P=P(\varepsilon)$ for each case using dispersion relations derived from both theories. The EOS are inputted into the Friedmann equations of a homogeneous and isotropic space-time to determine the cosmic scale factor a(t). It is shown that the photon non-null mass does not significantly alter the result $a\propto t^{1/2}$ valid for a massless photon gas; this is true either in de Broglie-Proca's case (where the photon mass m is extremely small) or in Bopp-Podolsky theory (for which m is extremely large) |
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Medeiros, Léo GouvêaCuzinatto, R.R.Morais, Eduardo M. deSouza, Clicia Naldoni dePimentel, B. M.2020-08-28T21:03:49Z2020-08-28T21:03:49Z2017-04-01CUZINATTO, R. R.; MORAIS, E. M. de; MEDEIROS, L. G.; SOUZA, C. Naldoni de; PIMENTEL, B. M.. De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology. Epl (Europhysics Letters), [s.l.], v. 118, n. 1, p. 19001, 1 abr. 2017. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/118/19001. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1209/0295-5075/118/19001.0295-50751286-4854https://repositorio.ufrn.br/jspui/handle/123456789/2990710.1209/0295-5075/118/19001IOP PublishingBroglie-ProcaBopp-PodolskyPhoton gasesCosmologyDe Broglie-Proca and Bopp-Podolsky massive photon gases in cosmologyinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleWe investigate the influence of massive photons on the evolution of the expanding universe. Two particular models for generalized electrodynamics are considered, namely de Broglie-Proca and Bopp-Podolsky electrodynamics. We obtain the equation of state (EOS) $P=P(\varepsilon)$ for each case using dispersion relations derived from both theories. The EOS are inputted into the Friedmann equations of a homogeneous and isotropic space-time to determine the cosmic scale factor a(t). It is shown that the photon non-null mass does not significantly alter the result $a\propto t^{1/2}$ valid for a massless photon gas; this is true either in de Broglie-Proca's case (where the photon mass m is extremely small) or in Bopp-Podolsky theory (for which m is extremely large)engreponame:Repositório Institucional da UFRNinstname:Universidade Federal do Rio Grande do Norte (UFRN)instacron:UFRNinfo:eu-repo/semantics/openAccessCC-LICENSElicense_rdflicense_rdfapplication/rdf+xml; charset=utf-8914https://repositorio.ufrn.br/bitstream/123456789/29907/2/license_rdf4d2950bda3d176f570a9f8b328dfbbefMD52LICENSElicense.txtlicense.txttext/plain; charset=utf-81484https://repositorio.ufrn.br/bitstream/123456789/29907/3/license.txte9597aa2854d128fd968be5edc8a28d9MD53TEXTBroglie-Proca_MEDEIROS_2017.pdf.txtBroglie-Proca_MEDEIROS_2017.pdf.txtExtracted texttext/plain34598https://repositorio.ufrn.br/bitstream/123456789/29907/4/Broglie-Proca_MEDEIROS_2017.pdf.txt1ac124b5ea8b7c874a43ad6694ae9431MD54THUMBNAILBroglie-Proca_MEDEIROS_2017.pdf.jpgBroglie-Proca_MEDEIROS_2017.pdf.jpgGenerated Thumbnailimage/jpeg1490https://repositorio.ufrn.br/bitstream/123456789/29907/5/Broglie-Proca_MEDEIROS_2017.pdf.jpgc91892c889e2f606fb12cc5dccd950a1MD55123456789/299072022-10-19 17:24:51.485oai:https://repositorio.ufrn.br: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Repositório de PublicaçõesPUBhttp://repositorio.ufrn.br/oai/opendoar:2022-10-19T20:24:51Repositório Institucional da UFRN - Universidade Federal do Rio Grande do Norte (UFRN)false |
dc.title.pt_BR.fl_str_mv |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
title |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
spellingShingle |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology Medeiros, Léo Gouvêa Broglie-Proca Bopp-Podolsky Photon gases Cosmology |
title_short |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
title_full |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
title_fullStr |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
title_full_unstemmed |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
title_sort |
De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology |
author |
Medeiros, Léo Gouvêa |
author_facet |
Medeiros, Léo Gouvêa Cuzinatto, R.R. Morais, Eduardo M. de Souza, Clicia Naldoni de Pimentel, B. M. |
author_role |
author |
author2 |
Cuzinatto, R.R. Morais, Eduardo M. de Souza, Clicia Naldoni de Pimentel, B. M. |
author2_role |
author author author author |
dc.contributor.author.fl_str_mv |
Medeiros, Léo Gouvêa Cuzinatto, R.R. Morais, Eduardo M. de Souza, Clicia Naldoni de Pimentel, B. M. |
dc.subject.por.fl_str_mv |
Broglie-Proca Bopp-Podolsky Photon gases Cosmology |
topic |
Broglie-Proca Bopp-Podolsky Photon gases Cosmology |
description |
We investigate the influence of massive photons on the evolution of the expanding universe. Two particular models for generalized electrodynamics are considered, namely de Broglie-Proca and Bopp-Podolsky electrodynamics. We obtain the equation of state (EOS) $P=P(\varepsilon)$ for each case using dispersion relations derived from both theories. The EOS are inputted into the Friedmann equations of a homogeneous and isotropic space-time to determine the cosmic scale factor a(t). It is shown that the photon non-null mass does not significantly alter the result $a\propto t^{1/2}$ valid for a massless photon gas; this is true either in de Broglie-Proca's case (where the photon mass m is extremely small) or in Bopp-Podolsky theory (for which m is extremely large) |
publishDate |
2017 |
dc.date.issued.fl_str_mv |
2017-04-01 |
dc.date.accessioned.fl_str_mv |
2020-08-28T21:03:49Z |
dc.date.available.fl_str_mv |
2020-08-28T21:03:49Z |
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.citation.fl_str_mv |
CUZINATTO, R. R.; MORAIS, E. M. de; MEDEIROS, L. G.; SOUZA, C. Naldoni de; PIMENTEL, B. M.. De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology. Epl (Europhysics Letters), [s.l.], v. 118, n. 1, p. 19001, 1 abr. 2017. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/118/19001. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1209/0295-5075/118/19001. |
dc.identifier.uri.fl_str_mv |
https://repositorio.ufrn.br/jspui/handle/123456789/29907 |
dc.identifier.issn.none.fl_str_mv |
0295-5075 1286-4854 |
dc.identifier.doi.none.fl_str_mv |
10.1209/0295-5075/118/19001 |
identifier_str_mv |
CUZINATTO, R. R.; MORAIS, E. M. de; MEDEIROS, L. G.; SOUZA, C. Naldoni de; PIMENTEL, B. M.. De Broglie-Proca and Bopp-Podolsky massive photon gases in cosmology. Epl (Europhysics Letters), [s.l.], v. 118, n. 1, p. 19001, 1 abr. 2017. Disponível em: https://iopscience.iop.org/article/10.1209/0295-5075/118/19001. Acesso em: 12 ago. 2020. http://dx.doi.org/10.1209/0295-5075/118/19001. 0295-5075 1286-4854 10.1209/0295-5075/118/19001 |
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https://repositorio.ufrn.br/jspui/handle/123456789/29907 |
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eng |
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eng |
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info:eu-repo/semantics/openAccess |
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openAccess |
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IOP Publishing |
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IOP Publishing |
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