Curvature collineations of non-expanding and twist-free vacuum type-N metrics in general relativity
- 1 September 1980
- journal article
- Published by IOP Publishing in Journal of Physics A: General Physics
- Vol. 13 (9) , 2995-3000
- https://doi.org/10.1088/0305-4470/13/9/026
Abstract
The curvature collineation equations have been solved for the two families of Petrov type-N plane-fronted gravitational wave solutions of Einstein's vacuum field equations in general relativity. Both of these solutions always have non-trivial curvature collineations, i.e. vector fields xi with respect to which the components Rmu nu alpha beta of the Riemann tensor for those solutions are Lie derivable.Keywords
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