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Gravitational wave memory: further examples

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arxiv 2412.02705 v2 pith:Z2L4NKJM submitted 2024-11-24 gr-qc hep-thmath-phmath.MP

P.-M. Zhang , Q.-L. Zhao , M. Elbistan , P. A. Horvathy This is my paper · ORCID
classification gr-qchep-thmath-phmath.MP
keywords wavegravitationalvelocitywavesapartarguedburstconfirmed
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Ehlers and Kundt [1] argued in favor of the velocity effect: particles initally at rest hit by a burst of gravitational waves should fly apart with constant velocity after the wave has passed. Zel'dovich and Polnarev [2] suggested instead that waves generated by flyby would be merely displaced. Their prediction is confirmed provided the wave parameters take some particular values.

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Cited by 2 Pith papers

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

  1. Flyby-induced displacement: analytic solution

    gr-qc 2025-02 accept novelty 5.0 of 10

    The authors derive exact analytic solutions for gravitational wave displacement memory when the flyby profile is approximated by the hyperbolic Scarf potential, with magic amplitude values |g|=(2n+1) sqrt(n(n+1)).

  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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