Lorentz group and spherical impulsive gravity waves

Physics

Scientific paper

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Wave Propagation And Interactions, Exact Solutions

Scientific paper

The method for constructing a spherical impulsive gravitational wave solution of Einstein's vacuum field equations has been described by Penrose. Recently the author gave an explicit transformation leading to coordinates in which the metric tensor is continuous across the history of the wave front in Minkowskian space-time. In this paper we exhibit the relationship between this transformation and proper, orthochronous Lorentz transformations. This provides a novel viewpoint on spherical impulsive gravity waves which facilitates a description of them in terms of new continuous coordinate systems.

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