Ricci Collineations for Non-Degenerate, Diagonal and Spherically Symmetric Ricci Tensors
arXiv:gr-qc/9907075 · doi:10.1023/A:1001983426767
Abstract
The expression of the vector field generator of a Ricci Collineation for diagonal, spherically symmetric and non-degenerate Ricci tensors is obtained. The resulting expressions show that the time and radial first derivatives of the components of the Ricci tensor can be used to classify the collineation, leading to 64 families. Some examples illustrate how to obtain the collineation vector.