Generalized Symmetries of Impulsive Gravitational Waves

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.

18 pages, latex2e, no figures

References in corpus (2)

• Symmetries of pp-Waves with Distributional Profile
• A Note on the Symmetries of the Gravitational Field of a Massless Particle

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