Ricci collineations of the Bianchi types I and III, and Kantowski-Sachs spacetimes

被引:27
|
作者
Camci, U [1 ]
Baysal, H
Tarhan, I
Yilmaz, I
Yavuz, I
机构
[1] Canakkale Onsekiz Mart Univ, Dept Math, Art & Sci Fac, TR-17100 Canakkale, Turkey
[2] Canakkale Onsekiz Mart Univ, Dept Phys, Art & Sci Fac, TR-17100 Canakkale, Turkey
[3] Canakkale Onsekiz Mart Univ, Dept Comp Sci, TR-17100 Canakkale, Turkey
来源
关键词
D O I
10.1142/S0218271801001219
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Ricci collineations of the Bianchi types I and III, and Kantowski-Sachs spacetimes 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 spacetimes 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.
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页码:751 / 765
页数:15
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