Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2000-10-15
Int.J.Mod.Phys. D10 (2001) 751
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
21 Pages, LaTeX, no figures, accepted for publication in the International Journal of Modern Physics D
Scientific paper
10.1142/S0218271801001219
Ricci 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.
Baysal Husnu
Camcı Ugur
Tarhan İ.
Yavuz İ.
Yılmaz İ.
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