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arXiv · 2603.15442

Approximate Models for Gravitational Memory

Q-L Zhao·P. -M. Zhang·M. Elbistan·P. A. Horvathy
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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.

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Q-L Zhao, P. -M. Zhang, M. Elbistan, P. A. Horvathy. 2026-03-16. Approximate Models for Gravitational Memory. https://arxiv.org/abs/2603.15442

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