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arXiv · gr-qc/9607045

Generalized Symmetries of Impulsive Gravitational Waves

P. C. Aichelburg·H. Balasin
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Abstract

We generalize previous \cite{AiBa2} work on the classification of ($C^\infty$) symmetries of plane-fronted waves with an impulsive profile. Due to the specific form of the profile it is possible to extend the group of normal-form-preserving diffeomorphisms to include non-smooth transformations. This extension entails a richer structure of the symmetry algebra generated by the (non-smooth) Killing vectors.

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P. C. Aichelburg, H. Balasin. 1996-07-21. Generalized Symmetries of Impulsive Gravitational Waves. https://doi.org/10.1088/0264-9381%2F14%2F1a%2F004

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