Approximate Models for Gravitational Memory
General Relativity and Quantum Cosmology
2026-05-26 v3 High Energy Physics - Theory
Abstract
The large-distance approximation of a sandwich gravitational wave by a continuous but not necessarily smooth profile provides us with an approximate analytic description of particle motion in a gravitational wave as spelled out for the Poschl-Teller profile. Displacement Memory is obtained by fine-tuning the amplitude. The role of the 2nd solution of the Sturm-Liouville equation is highlighted. Similar results hold for a Gaussian and simple square profiles. Our approximate models are consistent with Carroll symmetry.
Cite
@article{arxiv.2603.15442,
title = {Approximate Models for Gravitational Memory},
author = {Q-L Zhao and P. -M. Zhang and M. Elbistan and P. A. Horvathy},
journal= {arXiv preprint arXiv:2603.15442},
year = {2026}
}
Comments
17 pages, 13 figures