A Note on the Symmetries of the Gravitational Field of a Massless Particle

Details A Note on the Symmetries of the Gravitational Field of a Massless Particle A Note on the Symmetries of the Gravitational Field of a Massless Particle

1994-07-15

arxiv.org/abs/gr-qc/9407018v1

Class.Quant.Grav.11:L121-L123,1994

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10pages, amslatex, TUW-94-12 and UWThPh-1994-27

Scientific paper

10.1088/0264-9381/11/10/001

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}.

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