Type O pure radiation metrics with a cosmological constant

Detalhes bibliográficos
Autor(a) principal: Edgar, S. Brian
Data de Publicação: 2007
Outros Autores: Ramos, M. P. Machado
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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spelling 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
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dc.publisher.none.fl_str_mv Springer
publisher.none.fl_str_mv Springer
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