Conformal Ricci collineations of static spherically symmetric spacetimes

被引:14
作者
Camci, Ugur [1 ]
Qadir, Asghar [2 ,4 ]
Saifullah, K. [3 ]
机构
[1] Canakkale Onsekiz Mart Univ, Fac Arts & Sci, Dept Phys, TR-17100 Canakkale, Turkey
[2] Natl Univ Sci & Technol, Ctr Adv Math & Phys, Rawalpindi, Pakistan
[3] Univ London, Sch Math Sci, London, England
[4] King Fahd Univ Petr & Minerals, Dept Math Sci, Dhahran 31261, Saudi Arabia
关键词
Ricci collineations; conformal collineations; static spherically symmetric spacetimes;
D O I
10.1088/0253-6102/49/6/38
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Conformal Ricci collineations of static spherically symmetric spacetimes are studied. The general form of the vector fields generating conformal Ricci collineations is found when the Ricci tensor is non-degenerate, in which case the number of independent conformal Ricci collineations is 15, the maximum number for four-dimensional manifolds. In the degenerate case it is found that the static spherically symmetric spacetimes always have an infinite number of conformal Ricci collineations. Some examples are provided which admit non-trivial conformal Ricci collineations, and perfect fluid source of the matter.
引用
收藏
页码:1527 / 1532
页数:6
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