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Conformal Ricci Collineations of Static Spherically Symmetric Spacetimes
Authors:Ugur Camci Asghar Qadir K Saifullah
Institution: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
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.
Keywords:Ricci collineations  conformal collineations  static spherically symmetric spacetimes
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