Approximate Models for Gravitational Memory
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arXiv
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| Hauptverfasser: | , , , |
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| author | Zhao, Q-L Zhang, P. -M. Elbistan, M. Horvathy, P. A. |
| author_facet | Zhao, Q-L Zhang, P. -M. Elbistan, M. Horvathy, P. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2603_15442 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Approximate Models for Gravitational Memory Zhao, Q-L Zhang, P. -M. Elbistan, M. Horvathy, P. A. General Relativity and Quantum Cosmology High Energy Physics - Theory 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. |
| title | Approximate Models for Gravitational Memory |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2603.15442 |