English

Displacement memory for flyby

General Relativity and Quantum Cosmology 2025-05-20 v6 High Energy Physics - Theory

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.

Keywords

Cite

@article{arxiv.2407.10787,
  title  = {Displacement memory for flyby},
  author = {P. -M. Zhang and Q. -L. Zhao and J. Balog and P. A. Horvathy},
  journal= {arXiv preprint arXiv:2407.10787},
  year   = {2025}
}

Comments

affiliation updated

R2 v1 2026-06-28T17:41:22.791Z