Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators
Autor(a) principal: | |
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Data de Publicação: | 2007 |
Outros Autores: | |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/1822/7700 |
Resumo: | Using the generalised invariant formalism we derive a class of conformally flat spacetimes whose Ricci tensor has a pure radiation and a Ricci scalar component. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N respectively. In this paper we demonstrate how to handle, in the generalised invariant formalism, spacetimes with isotropy freedom and rich Killing vector structure. Once the spacetimes have been constructed, it is straightforward to deduce their Karlhede classification: the Karlhede algorithm terminates at the fourth derivative order, and the spacetimes all have one degree of null isotropy and three, four or five Killing vectors. |
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Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operatorsPure radiation metricsInvariant formalismScience & TechnologyUsing the generalised invariant formalism we derive a class of conformally flat spacetimes whose Ricci tensor has a pure radiation and a Ricci scalar component. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N respectively. In this paper we demonstrate how to handle, in the generalised invariant formalism, spacetimes with isotropy freedom and rich Killing vector structure. Once the spacetimes have been constructed, it is straightforward to deduce their Karlhede classification: the Karlhede algorithm terminates at the fourth derivative order, and the spacetimes all have one degree of null isotropy and three, four or five Killing vectors.Vetenskapsrådet - Swedish Research Council.Officina Mathematica da Universidade do Minho.SpringerUniversidade do MinhoEdgar, S. BrianRamos, M. P. Machado2007-052007-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/7700eng"General Relativity and Gravitation". ISSN 0001-7701. 39:5 (2007) 539-566.1572-953210.1007/s10714-006-0392-0'The original publication is available at www.springerlink.com'http://springerlink.metapress.com/content/94274nvp819q41vg/fulltext.pdfinfo: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:RCAAP2023-07-21T12:18:32Zoai:repositorium.sdum.uminho.pt:1822/7700Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:11:22.356670Repositório 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 |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
title |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
spellingShingle |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators Edgar, S. Brian Pure radiation metrics Invariant formalism Science & Technology |
title_short |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
title_full |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
title_fullStr |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
title_full_unstemmed |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
title_sort |
Obtaining a class of type O pure radiation metrics with a negative cosmological constant, using invariant operators |
author |
Edgar, S. Brian |
author_facet |
Edgar, S. Brian Ramos, M. P. Machado |
author_role |
author |
author2 |
Ramos, M. P. Machado |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Universidade do Minho |
dc.contributor.author.fl_str_mv |
Edgar, S. Brian Ramos, M. P. Machado |
dc.subject.por.fl_str_mv |
Pure radiation metrics Invariant formalism Science & Technology |
topic |
Pure radiation metrics Invariant formalism Science & Technology |
description |
Using the generalised invariant formalism we derive a class of conformally flat spacetimes whose Ricci tensor has a pure radiation and a Ricci scalar component. The method used is a development of the methods used earlier for pure radiation spacetimes of Petrov types O and N respectively. In this paper we demonstrate how to handle, in the generalised invariant formalism, spacetimes with isotropy freedom and rich Killing vector structure. Once the spacetimes have been constructed, it is straightforward to deduce their Karlhede classification: the Karlhede algorithm terminates at the fourth derivative order, and the spacetimes all have one degree of null isotropy and three, four or five Killing vectors. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-05 2007-05-01T00:00:00Z |
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/1822/7700 |
url |
http://hdl.handle.net/1822/7700 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
"General Relativity and Gravitation". ISSN 0001-7701. 39:5 (2007) 539-566. 1572-9532 10.1007/s10714-006-0392-0 'The original publication is available at www.springerlink.com' http://springerlink.metapress.com/content/94274nvp819q41vg/fulltext.pdf |
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 |
Springer |
publisher.none.fl_str_mv |
Springer |
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 |
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1799132545108934656 |