Collineations of (2+1)-dimensional Friedmann-Robertson-Walker spacetimes

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dc.contributor.authorCamcı, Uğur
dc.date.accessioned2025-01-27T21:01:34Z
dc.date.available2025-01-27T21:01:34Z
dc.date.issued2004
dc.departmentÇanakkale Onsekiz Mart Üniversitesi
dc.descriptionInternational Workshop on Global Analysis -- APR 15-17, 2004 -- Cankaya Univ, Ankara, TURKEY
dc.description.abstractConformal Killing and Ricci collineation equations for (2+1)-dimensional Friedmann-Robertson-Walker (FRW) spacetimes are solved. These spacetimes are classified according to their Ricci conformal collineations (RCCs) and Ricci collineations (RCs). In the non-degenerate and degenerate cases of the Ricci tensor (the cases det(R-ab) not equal 0 and det(R-ab) = 0, respectively), the general forms of the vector fields generating RCCs and RCS are obtained. When the Ricci tensor is degenerate, the special cases are classified and it is shown that there are many cases of RCCs and RCs with infinite degrees of freedom. Furthermore, it is found that when the Ricci tensor is non-degenerate, the groups of RCCs and RCs are finite-dimensional, and we have always 10-parameter group of RCCs and 6-parameter group of RCs which are the maximal possible dimension for three-dimensional spacetime manifold. The results obtained are compared with conformal Killing vectors and Killing vectors.
dc.identifier.endpage123
dc.identifier.isbn0-7354-0209-4
dc.identifier.issn0094-243X
dc.identifier.startpage114
dc.identifier.urihttps://hdl.handle.net/20.500.12428/27101
dc.identifier.volume729
dc.identifier.wosWOS:000224721800010
dc.identifier.wosqualityN/A
dc.indekslendigikaynakWeb of Science
dc.language.isoen
dc.publisherAmer Inst Physics
dc.relation.ispartofGlobal Analysis and Applied Mathematics
dc.relation.publicationcategoryKonferans Öğesi - Uluslararası - Kurum Öğretim Elemanı
dc.rightsinfo:eu-repo/semantics/closedAccess
dc.snmzKA_WoS_20250125
dc.subjectRicci collineation
dc.subjectKilling vector
dc.subjectconformal Killing vector
dc.subjecthomothetic vector
dc.subject(2+1)-dimensional Friedmann-Robertson-Walker spacetime
dc.titleCollineations of (2+1)-dimensional Friedmann-Robertson-Walker spacetimes
dc.typeConference Object

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