Generalized Symmetries of Impulsive Gravitational Waves

Details Generalized Symmetries of Impulsive Gravitational Waves Generalized Symmetries of Impulsive Gravitational Waves

1996-07-21

arxiv.org/abs/gr-qc/9607045v1

Class.Quant.Grav.14:A31-A42,1997

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

18 pages, latex2e, no figures

Scientific paper

10.1088/0264-9381/14/1A/004

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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