Symmetries of pp-Waves with Distributional Profile

Abstract

We generalize the classification of (non-vacuum) pp-waves \cite{JEK} based on the Killing-algebra of the space-time by admitting distribution-valued profile functions. Our approach is based on the analysis of the (infinite-dimensional) group of ``normal-form-preserving'' diffeomorphisms.

10 pages, latex2e, no figures, statement about the combination of symmetry classes of impulsive waves corrected

References in corpus (3)

• On the Distributional Nature of the Energy Momentum Tensor of a Black Hole or What Curves the Schwarzschild Geometry ?
• The Ultrarelativistic Kerr-Geometry and its Energy-Momentum Tensor
• A Note on the Symmetries of the Gravitational Field of a Massless Particle

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