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Scaling and conformal symmetries for plane gravitational waves

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arxiv 1905.08661 v7 pith:MM2DI6GL submitted 2019-05-21 gr-qc hep-thmath-phmath.MP

classification gr-qchep-thmath-phmath.MP
keywords symmetrieschrono-projectiveconformalgravitationalhomothetiesisometriesmasslessparticles
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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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Forward citations

Cited by 2 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Elliptically Polarized Plane Gravitational Waves

    gr-qc 2025-01 accept novelty 6.0 of 10

    Exact elliptically polarized plane gravitational wave solutions exhibit a cosmic jet effect: generic timelike and null geodesics asymptotically align with the propagation direction at speed c.

  2. Memory Effect for deformed gravitational waves

    gr-qc 2026-07 conditional novelty 4.0 of 10

    Displacement memory in squeezed Pöschl–Teller gravitational waves is lost in the finite-amplitude impulsive limit; restoring it requires amplitudes that diverge as the squeezing parameter p→∞.

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