Abstract
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.
| Original language | English |
|---|---|
| Pages (from-to) | 1527-1532 |
| Number of pages | 6 |
| Journal | Communications in Theoretical Physics |
| Volume | 49 |
| Issue number | 6 |
| DOIs | |
| State | Published - 15 Jun 2008 |
Keywords
- Conformal collineations
- Ricci collineations
- Static spherically symmetric spacetimes
ASJC Scopus subject areas
- Physics and Astronomy (miscellaneous)
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