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25 April 2024
 
  » arxiv » gr-qc/0010057

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Ricci Collineations of the Bianchi Types I and III, and Kantowski-Sachs Spacetimes
U. Camci ; I. Yavuz ; H. Baysal ; I. Tarhan ; I.Yilmaz ;
Date 15 Oct 2000
Journal Int.J.Mod.Phys. D10 (2001) 751
Subject gr-qc
AbstractRicci collineations of the Bianchi types I and III, and Kantowski-Sachs space- times are classified according to their Ricci collineation vector (RCV) field of the form (i)-(iv) one component of $xi^a (x^b)$ is nonzero, (v)-(x) two components of $xi^a (x^b)$ are nonzero, and (xi)-(xiv) three components of $xi^a (x^b)$ are nonzero. Their relation with isometries of the space-times is established. In case (v), when $det(R_{ab}) = 0$, some metrics are found under the time transformation, in which some of these metrics are known, and the other ones new. Finally, the family of contracted Ricci collineations (CRC) are presented.
Source arXiv, gr-qc/0010057
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