Work

Approximate Models for Gravitational Memory

Year: 2026

Type: preprint

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.

Source: arXiv (Cornell University)

DOI: 10.48550/arxiv.2603.15442

Authors: Zhao, Q-L, Zhang, P. -M., Elbistan, M., Horvathy, P. A.

Institutions: Sun Yat-sen University, Istanbul Bilgi University, Université de Tours, Université d'Orléans, Centre National de la Recherche Scientifique, Institut Denis Poisson

Topic: Pulsars and Gravitational Waves Research

Subfield: Astronomy and Astrophysics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W7138257381

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