Generalized Symmetries of Impulsive Gravitational Waves
General Relativity and Quantum Cosmology
2010-04-06 v1
Abstract
We generalize previous \cite{AiBa2} work on the classification of () 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.
Cite
@article{arxiv.gr-qc/9607045,
title = {Generalized Symmetries of Impulsive Gravitational Waves},
author = {P. C. Aichelburg and H. Balasin},
journal= {arXiv preprint arXiv:gr-qc/9607045},
year = {2010}
}
Comments
18 pages, latex2e, no figures