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Pré-Publication, Document De Travail Année : 2024

Displacement within velocity effect in gravitational wave memory

Résumé

Sandwich gravitational waves exhibit the memory effect (VM) which however can become, for specific values of the wave parameters, pure displacement (DM) as suggested by Zel'dovich and Polnarev. Fixing such a "miraculous" value, the particle trajectory is an (approximate) standing wave characterized by a unique integer $m$, for which the particle does not absorb any energy from the passing wave. Our statements are illustrated by a simple Gaussian and by the Pöschl-Teller potential as profiles.
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hal-04600713 , version 1 (01-07-2024)

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P.-M Zhang, Peter Horvathy. Displacement within velocity effect in gravitational wave memory. 2024. ⟨hal-04600713⟩
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