Curvature Collineations in Empty Space-Times
- 1 March 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (3) , 818-819
- https://doi.org/10.1063/1.1665215
Abstract
It is shown that the only curvature collineations admitted by an empty space-time, not of Petrov type N, are conformal motions. The curvature collineations admitted by the plane-fronted gravitational waves are found.Keywords
This publication has 4 references indexed in Scilit:
- 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
- Embeddings of the Plane-Fronted Waves and Other Space-TimesJournal of Mathematical Physics, 1968
- Null Tetrad Approach to Motions in Empty Space-TimeJournal of Mathematical Physics, 1967
- An Approach to Gravitational Radiation by a Method of Spin CoefficientsJournal of Mathematical Physics, 1962