Type O pure radiation metrics with a cosmological constant
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/1822/7701 |
Resumo: | In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant $\Lambda$, and $\tau \ne 0$, by considering the case $\Lambda +\tau\bar\tau \ne 0$. This is a further demonstration of the power and suitability of the generalised invariant formalism (GIF) for spacetimes where only one null direction is picked out by the Riemann tensor. For these spacetimes, the GIF picks out a second null direction, (from the second derivative of the Riemann tensor) and once this spinor has been identified the calculations are transferred to the simpler GHP formalism, where the tetrad and metric are determined. It is straightforward to deduce the Karlhede classification, and the Karlhede algorithm terminates at the fourth derivative order; the whole class of spacetimes (those found in this paper, together with those found earlier for the case $\Lambda +\tau\bar\tau = 0$) have a rich variety of subclasses with zero, one, two, three, four or five Killing vectors. |
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Type O pure radiation metrics with a cosmological constantPure radiationInvariant formalismScience & TechnologyIn this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant $\Lambda$, and $\tau \ne 0$, by considering the case $\Lambda +\tau\bar\tau \ne 0$. This is a further demonstration of the power and suitability of the generalised invariant formalism (GIF) for spacetimes where only one null direction is picked out by the Riemann tensor. For these spacetimes, the GIF picks out a second null direction, (from the second derivative of the Riemann tensor) and once this spinor has been identified the calculations are transferred to the simpler GHP formalism, where the tetrad and metric are determined. It is straightforward to deduce the Karlhede classification, and the Karlhede algorithm terminates at the fourth derivative order; the whole class of spacetimes (those found in this paper, together with those found earlier for the case $\Lambda +\tau\bar\tau = 0$) have a rich variety of subclasses with zero, one, two, three, four or five Killing vectors.Vetenskapsrådet - Swedish Research Council.Officina Mathematica da Universidade do MinhoSpringerUniversidade do MinhoEdgar, S. BrianRamos, M. P. Machado2007-112007-11-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/1822/7701eng"General Relativity and Gravitation". ISSN 0001-7701. 38:11(Nov. 2007) 1749-1772.0001-770110.1007/s10714-007-0487-2http://www.springerlink.com/content/k6466kp84k66/?sortorder=asc&p_o=0info: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:RCAAP2023-07-21T12:40:19Zoai:repositorium.sdum.uminho.pt:1822/7701Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T19:37:05.727831Repositório 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 |
Type O pure radiation metrics with a cosmological constant |
title |
Type O pure radiation metrics with a cosmological constant |
spellingShingle |
Type O pure radiation metrics with a cosmological constant Edgar, S. Brian Pure radiation Invariant formalism Science & Technology |
title_short |
Type O pure radiation metrics with a cosmological constant |
title_full |
Type O pure radiation metrics with a cosmological constant |
title_fullStr |
Type O pure radiation metrics with a cosmological constant |
title_full_unstemmed |
Type O pure radiation metrics with a cosmological constant |
title_sort |
Type O pure radiation metrics with a cosmological constant |
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 Invariant formalism Science & Technology |
topic |
Pure radiation Invariant formalism Science & Technology |
description |
In this paper we complete the integration of the conformally flat pure radiation spacetimes with a non-zero cosmological constant $\Lambda$, and $\tau \ne 0$, by considering the case $\Lambda +\tau\bar\tau \ne 0$. This is a further demonstration of the power and suitability of the generalised invariant formalism (GIF) for spacetimes where only one null direction is picked out by the Riemann tensor. For these spacetimes, the GIF picks out a second null direction, (from the second derivative of the Riemann tensor) and once this spinor has been identified the calculations are transferred to the simpler GHP formalism, where the tetrad and metric are determined. It is straightforward to deduce the Karlhede classification, and the Karlhede algorithm terminates at the fourth derivative order; the whole class of spacetimes (those found in this paper, together with those found earlier for the case $\Lambda +\tau\bar\tau = 0$) have a rich variety of subclasses with zero, one, two, three, four or five Killing vectors. |
publishDate |
2007 |
dc.date.none.fl_str_mv |
2007-11 2007-11-01T00:00:00Z |
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/1822/7701 |
url |
http://hdl.handle.net/1822/7701 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
"General Relativity and Gravitation". ISSN 0001-7701. 38:11(Nov. 2007) 1749-1772. 0001-7701 10.1007/s10714-007-0487-2 http://www.springerlink.com/content/k6466kp84k66/?sortorder=asc&p_o=0 |
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 |
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Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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RCAAP |
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RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
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1799132903571980288 |