Curvature Collineations for Gravitational pp Waves
- 1 August 1970
- journal article
- Published by AIP Publishing in Journal of Mathematical Physics
- Vol. 11 (8) , 2458-2462
- https://doi.org/10.1063/1.1665410
Abstract
Vacuum fields which admit a covariant constant vector are investigated in order to find ``curvature collineations,'' i.e., . For all discussed types of pp waves it is shown that proper curvature collineations exist. We state the explicit form of these transformations.
Keywords
This publication has 4 references indexed in Scilit:
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- Related First Integral Theorem: A Method for Obtaining Conservation Laws of Dynamical Systems with Geodesic Trajectories in Riemannian Spaces Admitting SymmetriesJournal of Mathematical Physics, 1968
- Conservation laws of the general theory of relativityIl Nuovo Cimento (1869-1876), 1965
- Propagation laws for null and type III gravitational wavesThe European Physical Journal A, 1960