Flyby-induced displacement: analytic solution
Fuente:
arXiv
Salvato in:
| Autori principali: | , , |
|---|---|
| Natura: | Preprint |
| Pubblicazione: |
2025
|
| Soggetti: | |
| Accesso online: | |
| Tags: |
Aggiungi Tag
Nessun Tag, puoi essere il primo ad aggiungerne!!
|
| _version_ | 1866915364838834176 |
|---|---|
| author | Zhang, P. -M. Silagadze, Z. K. Horvathy, P. A. |
| author_facet | Zhang, P. -M. Silagadze, Z. K. Horvathy, P. A. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_01326 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Flyby-induced displacement: analytic solution Zhang, P. -M. Silagadze, Z. K. Horvathy, P. A. General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics 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. |
| title | Flyby-induced displacement: analytic solution |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2502.01326 |