Collineations of the Ricci tensor
- 1 August 1993
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 34 (8) , 3543-3552
- https://doi.org/10.1063/1.530043
Abstract
Ricci collineations for the Ricci tensor which is constructed from a general spherically symmetric and static metric are classified for all possibilities of Rab(r) (such that Rab≠0 for a=b). It turns out that the only collineations admitted by this tensor can be ten, six, or four and there does not appear any case in between.Keywords
This publication has 8 references indexed in Scilit:
- Killing vectors of static spherically symmetric metricsJournal of Mathematical Physics, 1990
- Ricci and contracted Ricci collineations of the Robertson–Walker space-timeJournal of Mathematical Physics, 1990
- Symmetries of static, spherically symmetric space-timesJournal of Mathematical Physics, 1987
- Relativistic matter fields admitting Ricci collineations and elated conservation lawsIl Nuovo Cimento B (1971-1996), 1976
- On some new principles of classifying geometriesReports on Mathematical Physics, 1972
- Applications of Lie derivatives to symmetries, geodesic mappings, and first integrals in Riemannian spacesColloquium Mathematicum, 1972
- Curvature Collineations: A Fundamental Symmetry Property of the Space-Times of General Relativity Defined by the Vanishing Lie Derivative of the Riemann Curvature TensorJournal of Mathematical Physics, 1969
- Mechanical Conservation Laws and the Physical Properties of Groups of Motions in Flat and Curved Space-TimesAmerican Journal of Physics, 1962