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arXiv · 2407.10787

Displacement memory for flyby

P. -M. Zhang·Q. -L. Zhao·J. Balog·P. A. Horvathy
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Abstract

Zel'dovich and Polnarev, in their seminal paper [1] suggested that a gravitational wave generated by flyby would merely displace the particles. We confirm their prediction numerically by fine-tuning the wave profile proposed by Gibbons and Hawking [2], and then analytically for its approximation by a P\"oschl-Teller potential. Higher-order derivative profiles proposed for gravitational collapse, etc [2] are shortly discussed.

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P. -M. Zhang, Q. -L. Zhao, J. Balog, P. A. Horvathy. 2024-07-15. Displacement memory for flyby. https://arxiv.org/abs/2407.10787

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