Ricci collineations in Friedmann-Robertson-Walker spacetimes

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dc.authoridCamci, Ugur/0000-0003-3431-2574
dc.contributor.authorCamci, U
dc.contributor.authorBarnes, A
dc.date.accessioned2025-01-27T21:13:29Z
dc.date.available2025-01-27T21:13:29Z
dc.date.issued2002
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractRicci collineations and Ricci inheritance collineations of Friedmann-Robertson-Walker spacetimes are considered. When the Ricci tensor is nondegenerate, it is shown that the spacetime always admits a 15-parameter group of Ricci inheritance collineations; this is the maximal possible dimension for spacetime manifolds. The general form of the vector generating the symmetry is exhibited. It is also shown, in the generic case, that the group of Ricci collineations is six-dimensional and coincides with the isometry group. In special cases the spacetime may admit either one or four proper Ricci collineations in addition to the six isometries. These special cases are classified and the general form of the vector fields generating the Ricci collineations is exhibited. When the Ricci tensor is degenerate, the groups of Ricci inheritance collineations and Ricci collineations are infinite-dimensional. General forms for the generating vectors are obtained. Similar results are obtained for matter collineations and matter inheritance collineations.
dc.identifier.doi10.1088/0264-9381/19/2/312
dc.identifier.endpage404
dc.identifier.issn0264-9381
dc.identifier.issue2
dc.identifier.scopus2-s2.0-0036281471
dc.identifier.scopusqualityQ1
dc.identifier.startpage393
dc.identifier.urihttps://doi.org/10.1088/0264-9381/19/2/312
dc.identifier.urihttps://hdl.handle.net/20.500.12428/28438
dc.identifier.volume19
dc.identifier.wosWOS:000173944300014
dc.identifier.wosqualityQ1
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherIop Publishing Ltd
dc.relation.ispartofClassical and Quantum Gravity
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.titleRicci collineations in Friedmann-Robertson-Walker spacetimes
dc.typeArticle

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