Raychaudhuri equation in spacetimes with torsion

Detalhes bibliográficos
Autor(a) principal: Luz, Paulo
Data de Publicação: 2017
Outros Autores: Vitagliano, Vincenzo
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/51200
Resumo: Given a spacetime with nonvanishing torsion, we discuss the equation for the evolution of the separation vector between infinitesimally close curves in a congruence. We show that the presence of a torsion field leads, in general, to tangent and orthogonal effects on the congruence; in particular, the presence of a completely generic torsion field contributes to a relative acceleration between test particles. We derive, for the first time in the literature, the Raychaudhuri equation for a congruence of timelike and null curves in a spacetime with the most generic torsion field.
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spelling Raychaudhuri equation in spacetimes with torsionspace-timetorsionRaychaudhuri equationaccelerationgeodesicgravitationCiências Naturais::Ciências FísicasScience & TechnologyGiven a spacetime with nonvanishing torsion, we discuss the equation for the evolution of the separation vector between infinitesimally close curves in a congruence. We show that the presence of a torsion field leads, in general, to tangent and orthogonal effects on the congruence; in particular, the presence of a completely generic torsion field contributes to a relative acceleration between test particles. We derive, for the first time in the literature, the Raychaudhuri equation for a congruence of timelike and null curves in a spacetime with the most generic torsion field.The Authors wish to thank José P. S. Lemos for early discussions on a first version of the paper. We thank FCT-Portugal for financial support through Project No. PEst-OE/FIS/UI0099/2015. PL thanks IDPASC and FCT-Portugal for financial support through Grant No. PD/BD/114074/2015. VV is supported by the FCTPortugal grant SFRH/BPD/77678/2011.info:eu-repo/semantics/publishedVersionAmerican Physical SocietyUniversidade do MinhoLuz, PauloVitagliano, Vincenzo2017-07-142017-07-14T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/51200eng2470-0010,2470-002910.1103/PhysRevD.96.024021info: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:RCAAP2023-07-21T12:09:35Zoai:repositorium.sdum.uminho.pt:1822/51200Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:01:00.254207Repositório 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 Raychaudhuri equation in spacetimes with torsion
title Raychaudhuri equation in spacetimes with torsion
spellingShingle Raychaudhuri equation in spacetimes with torsion
Luz, Paulo
space-time
torsion
Raychaudhuri equation
acceleration
geodesic
gravitation
Ciências Naturais::Ciências Físicas
Science & Technology
title_short Raychaudhuri equation in spacetimes with torsion
title_full Raychaudhuri equation in spacetimes with torsion
title_fullStr Raychaudhuri equation in spacetimes with torsion
title_full_unstemmed Raychaudhuri equation in spacetimes with torsion
title_sort Raychaudhuri equation in spacetimes with torsion
author Luz, Paulo
author_facet Luz, Paulo
Vitagliano, Vincenzo
author_role author
author2 Vitagliano, Vincenzo
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv Luz, Paulo
Vitagliano, Vincenzo
dc.subject.por.fl_str_mv space-time
torsion
Raychaudhuri equation
acceleration
geodesic
gravitation
Ciências Naturais::Ciências Físicas
Science & Technology
topic space-time
torsion
Raychaudhuri equation
acceleration
geodesic
gravitation
Ciências Naturais::Ciências Físicas
Science & Technology
description Given a spacetime with nonvanishing torsion, we discuss the equation for the evolution of the separation vector between infinitesimally close curves in a congruence. We show that the presence of a torsion field leads, in general, to tangent and orthogonal effects on the congruence; in particular, the presence of a completely generic torsion field contributes to a relative acceleration between test particles. We derive, for the first time in the literature, the Raychaudhuri equation for a congruence of timelike and null curves in a spacetime with the most generic torsion field.
publishDate 2017
dc.date.none.fl_str_mv 2017-07-14
2017-07-14T00:00:00Z
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/1822/51200
url http://hdl.handle.net/1822/51200
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 2470-0010,
2470-0029
10.1103/PhysRevD.96.024021
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 Physical Society
publisher.none.fl_str_mv American Physical Society
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
_version_ 1799132407045029888

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