Spinor calculus on five-dimensional spacetimes

Detalhes bibliográficos
Autor(a) principal: García-Parrado Gómez-Lobo, Alfonso
Data de Publicação: 2009
Outros Autores: Martín-García, José María
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/1822/11843
Resumo: Penrose’s spinor calculus of four-dimensional Lorentzian geometry is extended to the case of five-dimensional Lorentzian geometry. Such fruitful ideas in Penrose’s spinor calculus as the spin covariant derivative, the curvature spinors, or the defi- nition of the spin coefficients on a spin frame can be carried over to the spinor calculus in five-dimensional Lorentzian geometry. The algebraic and differential properties of the curvature spinors are studied in detail, and as an application, we extend the well-known four-dimensional Newman–Penrose formalism to a five- dimensional spacetime.
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spelling Spinor calculus on five-dimensional spacetimesSpinor calculusFive-dimensional General RelativityNewman-Penrose formalismalgebraEinstein field equationsgeometryspace-time configurationsScience & TechnologyPenrose’s spinor calculus of four-dimensional Lorentzian geometry is extended to the case of five-dimensional Lorentzian geometry. Such fruitful ideas in Penrose’s spinor calculus as the spin covariant derivative, the curvature spinors, or the defi- nition of the spin coefficients on a spin frame can be carried over to the spinor calculus in five-dimensional Lorentzian geometry. The algebraic and differential properties of the curvature spinors are studied in detail, and as an application, we extend the well-known four-dimensional Newman–Penrose formalism to a five- dimensional spacetime.Gent University (Belgium)AIP PublishingUniversidade do MinhoGarcía-Parrado Gómez-Lobo, AlfonsoMartín-García, José María2009-12-172009-12-17T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articletext/plainapplication/pdfhttp://hdl.handle.net/1822/11843eng"Journal of Mathematical Physics". ISSN 0022-2488. 50 (Dec. 2009) 122504-122526.0022-248810.1063/1.3256124http://jmp.aip.org/resource/1/jmapaq/v50/i12/p122504_s1info: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:RCAAP2023-07-21T12:27:17Zoai:repositorium.sdum.uminho.pt:1822/11843Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:21:50.006050Repositório 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 Spinor calculus on five-dimensional spacetimes
title Spinor calculus on five-dimensional spacetimes
spellingShingle Spinor calculus on five-dimensional spacetimes
García-Parrado Gómez-Lobo, Alfonso
Spinor calculus
Five-dimensional General Relativity
Newman-Penrose formalism
algebra
Einstein field equations
geometry
space-time configurations
Science & Technology
title_short Spinor calculus on five-dimensional spacetimes
title_full Spinor calculus on five-dimensional spacetimes
title_fullStr Spinor calculus on five-dimensional spacetimes
title_full_unstemmed Spinor calculus on five-dimensional spacetimes
title_sort Spinor calculus on five-dimensional spacetimes
author García-Parrado Gómez-Lobo, Alfonso
author_facet García-Parrado Gómez-Lobo, Alfonso
Martín-García, José María
author_role author
author2 Martín-García, José María
author2_role author
dc.contributor.none.fl_str_mv Universidade do Minho
dc.contributor.author.fl_str_mv García-Parrado Gómez-Lobo, Alfonso
Martín-García, José María
dc.subject.por.fl_str_mv Spinor calculus
Five-dimensional General Relativity
Newman-Penrose formalism
algebra
Einstein field equations
geometry
space-time configurations
Science & Technology
topic Spinor calculus
Five-dimensional General Relativity
Newman-Penrose formalism
algebra
Einstein field equations
geometry
space-time configurations
Science & Technology
description Penrose’s spinor calculus of four-dimensional Lorentzian geometry is extended to the case of five-dimensional Lorentzian geometry. Such fruitful ideas in Penrose’s spinor calculus as the spin covariant derivative, the curvature spinors, or the defi- nition of the spin coefficients on a spin frame can be carried over to the spinor calculus in five-dimensional Lorentzian geometry. The algebraic and differential properties of the curvature spinors are studied in detail, and as an application, we extend the well-known four-dimensional Newman–Penrose formalism to a five- dimensional spacetime.
publishDate 2009
dc.date.none.fl_str_mv 2009-12-17
2009-12-17T00:00:00Z
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/1822/11843
url http://hdl.handle.net/1822/11843
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv "Journal of Mathematical Physics". ISSN 0022-2488. 50 (Dec. 2009) 122504-122526.
0022-2488
10.1063/1.3256124
http://jmp.aip.org/resource/1/jmapaq/v50/i12/p122504_s1
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv text/plain
application/pdf
dc.publisher.none.fl_str_mv AIP Publishing
publisher.none.fl_str_mv AIP Publishing
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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