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arXiv · 1905.08661

Scaling and conformal symmetries for plane gravitational waves

P. -M. Zhang·M. Cariglia·M. Elbistan·P. A. Horvathy
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Abstract

The isometries of an exact plane gravitational wave are symmetries for both massive and massless particles. Their conformal extensions are in fact chrono-projective transformations introduced earlier by Duval et al are symmetries for massless particles. Homotheties are universal chrono-projective symmetries for any profile. Chrono-projective transformations also generate new conserved quantities for the underlying non-relativistic systems in the Bargmann framework. Homotheties play a similar role for the lightlike "vertical" coordinate as isometries play for the transverse coordinates.

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P. -M. Zhang, M. Cariglia, M. Elbistan, P. A. Horvathy. 2019-05-21. Scaling and conformal symmetries for plane gravitational waves. https://doi.org/10.1063/1.5136078

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