Curvature and Weyl collineations of Bianchi type V spacetimes

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dc.authoridKUCUKAKCA, Yusuf/0000-0002-2921-5414
dc.authoridHUSSAIN, IBRAR/0000-0003-0733-900X
dc.authoridCamci, Ugur/0000-0003-3431-2574
dc.contributor.authorCamci, U.
dc.contributor.authorHussain, I.
dc.contributor.authorKucukakca, Y.
dc.date.accessioned2025-01-27T20:31:52Z
dc.date.available2025-01-27T20:31:52Z
dc.date.issued2009
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.description.abstractThe objective of this paper is twofold: (a) First the curvature collineations of the Bianchi type V spacetimes are studied using rank argument of curvature matrix. It is found that the rank of the 6 x 6 curvature matrix is 3, 4, 5 or 6 for these spacetimes. In one of the rank 3 cases the Bianchi type V spacetime admits proper curvature collineations which form infinite dimensional Lie algebra. (b) Then the Weyl collineations of the Bianchi type V spacetimes are investigated using rank argument of the Weyl matrix. It is obtained that the rank of the 6 x 6 Weyl matrix for Bianchi type V spacetimes is 0, 4 or 6. It is further shown that these spacetimes do not admit proper Weyl collineations, except in the trivial rank 0 case, which obviously form infinite dimensional Lie algebra. In some special cases it is found that these spacetimes admit Weyl collineations in addition to the Killing vectors, which are in fact proper conformal Killing vectors. The obtained conformal Killing vectors form four-dimensional Lie algebra. Crown Copyright (C) 2009 Published by Elsevier B.V. All rights reserved.
dc.description.sponsorshipScientific and Technological Research Council of Turkey (TUBITAK) [106T669]
dc.description.sponsorshipWe are grateful for the travelling grant of ICTP Net-53 under the BIPTUN programme, and to Canakkale Onsekiz Mart University, anakkale, Turkey, for the local hospitality. This study has been financially supported by The Scientific and Technological Research Council of Turkey (TUBITAK) under Project Number 106T669. We thank Necdet Yucel and Mevlut Baser for discussing the curvature collineations. We are also grateful to Prof. Asghar Qadir and Prof. Graham Hall for useful comments and discussions.
dc.identifier.doi10.1016/j.geomphys.2009.07.008
dc.identifier.endpage1484
dc.identifier.issn0393-0440
dc.identifier.issue11
dc.identifier.scopus2-s2.0-70349296773
dc.identifier.scopusqualityQ1
dc.identifier.startpage1476
dc.identifier.urihttps://doi.org/10.1016/j.geomphys.2009.07.008
dc.identifier.urihttps://hdl.handle.net/20.500.12428/23294
dc.identifier.volume59
dc.identifier.wosWOS:000271355300003
dc.identifier.wosqualityQ3
dc.indekslendigikaynakWeb of Science
dc.indekslendigikaynakScopus
dc.language.isoen
dc.publisherElsevier Science Bv
dc.relation.ispartofJournal of Geometry and Physics
dc.relation.publicationcategoryinfo:eu-repo/semantics/openAccess
dc.rightsinfo:eu-repo/semantics/openAccess
dc.snmzKA_WoS_20250125
dc.subjectBianchi type V spacetimes
dc.subjectCurvature collineations
dc.subjectWeyl collineations
dc.subjectConformal Killing vectors
dc.titleCurvature and Weyl collineations of Bianchi type V spacetimes
dc.typeArticle

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