Flyby-induced displacement: analytic solution
General Relativity and Quantum Cosmology
2025-07-01 v5 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The motion of particles hit by a burst of gravitational waves generated by flyby admits, for the derivative-of-the-Gaussian profile, only a numerical description. The profile can however be approximated by the hyperbolic Scarf potential which admits an exact analytic solution via the Nikiforov-Uvarov method. Our toy model is consistent with the prediction of Zel'dovich and Polnarev provided the wave amplitude takes certain ``magical'' values.
Keywords
Cite
@article{arxiv.2502.01326,
title = {Flyby-induced displacement: analytic solution},
author = {P. -M. Zhang and Z. K. Silagadze and P. A. Horvathy},
journal= {arXiv preprint arXiv:2502.01326},
year = {2025}
}
Comments
16 pages, 2 figures