On the hypotheses of Penrose’s singularity theorem under disformal transformations

Detalhes bibliográficos
Autor(a) principal: Bittencourt, Eduardo
Data de Publicação: 2020
Outros Autores: Carvalho, Gabriel G., Lobo, Iarley P., Santana, Leandro
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UFLA
Texto Completo: http://repositorio.ufla.br/jspui/handle/1/46964
Resumo: We analyze how the hypotheses of Penrose’s singularity theorem (1965) are modified by the action of disformal transformations (defined in terms of light-like vectors) upon a given space-time metric. In particular, we investigate the transformation of the null energy condition and the existence of closed trapped surfaces in such scenario, in order to derive conditions upon the background metric and the disformal vector that guarantee the validity of Penrose’s theorem for disformal metrics. Then, we explain how to apply this technique for static and spherically symmetric space-times in general.
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spelling On the hypotheses of Penrose’s singularity theorem under disformal transformationsGeneral relativityGravityStatic and spherically symmetric space-timesTeoremas de Singularidade PenroseRelatividade geralGravidadeTransformações disformesEspaços-tempos estáticos e esfericamente simétricosWe analyze how the hypotheses of Penrose’s singularity theorem (1965) are modified by the action of disformal transformations (defined in terms of light-like vectors) upon a given space-time metric. In particular, we investigate the transformation of the null energy condition and the existence of closed trapped surfaces in such scenario, in order to derive conditions upon the background metric and the disformal vector that guarantee the validity of Penrose’s theorem for disformal metrics. Then, we explain how to apply this technique for static and spherically symmetric space-times in general.Springer Nature2021-08-26T17:43:46Z2021-08-26T17:43:46Z2020-03info:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfBITTENCOURT, E. et al. On the hypotheses of Penrose’s singularity theorem under disformal transformations. The European Physical Journal C - Particles and Fields, v. 80, 2020. DOI: https://doi.org/10.1140/epjc/s10052-020-7830-0.http://repositorio.ufla.br/jspui/handle/1/46964The European Physical Journal C - Particles and Fieldsreponame:Repositório Institucional da UFLAinstname:Universidade Federal de Lavras (UFLA)instacron:UFLAhttp://creativecommons.org/licenses/by/4.0/info:eu-repo/semantics/openAccessBittencourt, EduardoCarvalho, Gabriel G.Lobo, Iarley P.Santana, Leandroeng2023-05-09T17:31:48Zoai:localhost:1/46964Repositório InstitucionalPUBhttp://repositorio.ufla.br/oai/requestnivaldo@ufla.br || repositorio.biblioteca@ufla.bropendoar:2023-05-09T17:31:48Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)false
dc.title.none.fl_str_mv On the hypotheses of Penrose’s singularity theorem under disformal transformations
title On the hypotheses of Penrose’s singularity theorem under disformal transformations
spellingShingle On the hypotheses of Penrose’s singularity theorem under disformal transformations
Bittencourt, Eduardo
General relativity
Gravity
Static and spherically symmetric space-times
Teoremas de Singularidade Penrose
Relatividade geral
Gravidade
Transformações disformes
Espaços-tempos estáticos e esfericamente simétricos
title_short On the hypotheses of Penrose’s singularity theorem under disformal transformations
title_full On the hypotheses of Penrose’s singularity theorem under disformal transformations
title_fullStr On the hypotheses of Penrose’s singularity theorem under disformal transformations
title_full_unstemmed On the hypotheses of Penrose’s singularity theorem under disformal transformations
title_sort On the hypotheses of Penrose’s singularity theorem under disformal transformations
author Bittencourt, Eduardo
author_facet Bittencourt, Eduardo
Carvalho, Gabriel G.
Lobo, Iarley P.
Santana, Leandro
author_role author
author2 Carvalho, Gabriel G.
Lobo, Iarley P.
Santana, Leandro
author2_role author
author
author
dc.contributor.author.fl_str_mv Bittencourt, Eduardo
Carvalho, Gabriel G.
Lobo, Iarley P.
Santana, Leandro
dc.subject.por.fl_str_mv General relativity
Gravity
Static and spherically symmetric space-times
Teoremas de Singularidade Penrose
Relatividade geral
Gravidade
Transformações disformes
Espaços-tempos estáticos e esfericamente simétricos
topic General relativity
Gravity
Static and spherically symmetric space-times
Teoremas de Singularidade Penrose
Relatividade geral
Gravidade
Transformações disformes
Espaços-tempos estáticos e esfericamente simétricos
description We analyze how the hypotheses of Penrose’s singularity theorem (1965) are modified by the action of disformal transformations (defined in terms of light-like vectors) upon a given space-time metric. In particular, we investigate the transformation of the null energy condition and the existence of closed trapped surfaces in such scenario, in order to derive conditions upon the background metric and the disformal vector that guarantee the validity of Penrose’s theorem for disformal metrics. Then, we explain how to apply this technique for static and spherically symmetric space-times in general.
publishDate 2020
dc.date.none.fl_str_mv 2020-03
2021-08-26T17:43:46Z
2021-08-26T17:43:46Z
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 BITTENCOURT, E. et al. On the hypotheses of Penrose’s singularity theorem under disformal transformations. The European Physical Journal C - Particles and Fields, v. 80, 2020. DOI: https://doi.org/10.1140/epjc/s10052-020-7830-0.
http://repositorio.ufla.br/jspui/handle/1/46964
identifier_str_mv BITTENCOURT, E. et al. On the hypotheses of Penrose’s singularity theorem under disformal transformations. The European Physical Journal C - Particles and Fields, v. 80, 2020. DOI: https://doi.org/10.1140/epjc/s10052-020-7830-0.
url http://repositorio.ufla.br/jspui/handle/1/46964
dc.language.iso.fl_str_mv eng
language eng
dc.rights.driver.fl_str_mv http://creativecommons.org/licenses/by/4.0/
info:eu-repo/semantics/openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by/4.0/
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv application/pdf
dc.publisher.none.fl_str_mv Springer Nature
publisher.none.fl_str_mv Springer Nature
dc.source.none.fl_str_mv The European Physical Journal C - Particles and Fields
reponame:Repositório Institucional da UFLA
instname:Universidade Federal de Lavras (UFLA)
instacron:UFLA
instname_str Universidade Federal de Lavras (UFLA)
instacron_str UFLA
institution UFLA
reponame_str Repositório Institucional da UFLA
collection Repositório Institucional da UFLA
repository.name.fl_str_mv Repositório Institucional da UFLA - Universidade Federal de Lavras (UFLA)
repository.mail.fl_str_mv nivaldo@ufla.br || repositorio.biblioteca@ufla.br
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