Scaling and conformal symmetries for plane gravitational waves
General Relativity and Quantum Cosmology
2025-05-27 v7 High Energy Physics - Theory
Mathematical Physics
math.MP
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.
Keywords
Cite
@article{arxiv.1905.08661,
title = {Scaling and conformal symmetries for plane gravitational waves},
author = {P. -M. Zhang and M. Cariglia and M. Elbistan and P. A. Horvathy},
journal= {arXiv preprint arXiv:1905.08661},
year = {2025}
}
Comments
affiliation corrected