Curvature collineations of non-expanding and twist-free vacuum type-N metrics in general relativity
W D Halford; C B G McIntosh; E H Van Leeuwen; W D Halford; Dept. of Math. & Statistics, Massey Univ., Palmerston North, New Zealand; C B G McIntosh; Dept. of Math. & Statistics, Massey Univ., Palmerston North, New Zealand; E H Van Leeuwen; Dept. of Math. & Statistics, Massey Univ., Palmerston North, New Zealand
Журнал:
Journal of Physics A: Mathematical and General
Дата:
1980-09-01
Аннотация:
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 R<sup>mu </sup><sub>nu alpha beta </sub> of the Riemann tensor for those solutions are Lie derivable.
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