Conformal Ricci Collineations of Static Space–Times with Maximal Symmetric Transverse Spaces

详细

We explore conformal Ricci collineations (CRCs) for static space–times with maximal symmetric transverse spaces. Solving the CRC equations in the degenerate and nondegenerate cases, we show that the dimension of the Lie algebra of CRCs for these space–times can be 6, 7, or 15 for a nondegenerate Ricci tensor, while a degenerate Ricci tensor produces an infinite number of CRCs.