Ricci collineations for non-degenerate, diagonal and spherically symmetricRicci tensors

Authors
Contreras, G Nunez, LA Percoco, U
Citation
G. Contreras et al., Ricci collineations for non-degenerate, diagonal and spherically symmetricRicci tensors, GEN RELAT G, 32(2), 2000, pp. 285-294
Citations number
10
Categorie Soggetti
Physics
Journal title
GENERAL RELATIVITY AND GRAVITATION
ISSN journal
00017701 → ACNP
Volume
32
Issue
2
Year of publication
2000
Pages
285 - 294
Database
ISI
SICI code
0001-7701(200002)32:2<285:RCFNDA>2.0.ZU;2-D
Abstract
The expression of the vector field generator of a Ricci collineation for di agonal, 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 collineat ion, leading to 64 families. Some examples illustrate how to obtain the col lineation vector.