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Scaling and conformal symmetries for plane gravitational waves
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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.
Forward citations
Cited by 2 Pith papers
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Elliptically Polarized Plane Gravitational Waves
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.
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Memory Effect for deformed gravitational waves
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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