Generalized symmetries of impulsive gravitational waves

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Published under licence by IOP Publishing Ltd
, , Citation Peter C Aichelburg and Herbert Balasin 1997 Class. Quantum Grav. 14 A31 DOI 10.1088/0264-9381/14/1A/004

0264-9381/14/1A/A31

Abstract

We generalize previous work on the classification of (C) 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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10.1088/0264-9381/14/1A/004