A Note on the Symmetries of the Gravitational Field of a Massless Particle
arXiv:gr-qc/9407018 · doi:10.1088/0264-9381/11/10/001
Abstract
It is shown that the metric of a massless particle obtained from boosting the Schwarzschild metric to the velocity of light, has four Killing vectors corresponding to an $E(2)\times \RR$ symmetry-group. This is in agreement with the expectations based on flat-space kinematics but is in contrast to previous statements in the literature \cite{Schueck}. Moreover, it also goes beyond the general Jordan-Ehlers-Kundt-(JEK)-classification of gravitational pp-waves as given in \cite{JEK}.
10pages, amslatex, TUW-94-12 and UWThPh-1994-27
References in corpus (1)
Cited by in corpus (6)
- Homogeneous Plane Waves
- Generalized Symmetries of Impulsive Gravitational Waves
- Symmetries of pp-Waves with Distributional Profile
- Exact Gravitational Shock Wave Solution of Higher Order Theories
- ADM and Bondi four-momenta for the ultrarelativistic Schwarzschild black hole
- Symmetries of distributional domain wall geometries