Curvature Collineations in Empty Space-Times
- 1 March 1970
- journal article
- research 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