Kundt solutions of Einstein's equations with one non-null Killing vector

Physics

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Scientific paper

The Kundt class of algebraically special solutions of Einstein's field equations, representing vacuum and electromagnetic null fields with one twisting, non-null Killing vector, is discussed. This generalizes the case with a hypersurface-orthogonal Killing vector field which is discussed by Kramer and Neugebauer [3]. The solutions are shown to be equivalent to the Hoenselaers (vacuum) and Hoenselaers-Skea (electromagnetic null) solutions, once some small corrections and the relevant coordinate transformations are made to the latter solutions.

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