Conformal Ricci Collineations of Static Spherically Symmetric Spacetimes |
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| Authors: | Ugur Camci Asghar Qadir K. Saifullah |
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| Affiliation: | 1. Department of Physics, Faculty of Arts and Sciences,Çanakkale Onsekiz Mart University, 17100 Çanakkale, Turkey;2. Center for Advanced Mathematics and Physics,National University of Sciences and Technology, Rawalpindi, Pakistan;3. School of Mathematical Sciences, Queen Mary,University of London, London, UK |
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| 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 Riccitensor 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 thatthe static spherically symmetric spacetimes always have an infinitenumber of conformal Ricci collineations. Some examples are provided which admit non-trivial conformal Ricci collineations, and perfect fluid source of the matter. |
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| Keywords: | Ricci collineations； conformal collineations； static spherically symmetric spacetimes |
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