Displacement within velocity effect in gravitational wave memory
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915284589215744 |
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| author | Zhang, P. -M. Horvathy, P. A. |
| author_facet | Zhang, P. -M. Horvathy, P. A. |
| contents | Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, thevelocity memory effect (VM): they fly apart with constant velocity. For specific values of the wave parameters their motion can however become pure displacement (DM) as suggested by Zel'dovich and Polnarev. For such a ``miraculous'' value, the particle trajectory is composed of an integer number of (approximate) standing half-waves. Our statements are illustrated numerically by a Gaussian, and analytically by the Pöschl-Teller profiles. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2405_12928 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Displacement within velocity effect in gravitational wave memory Zhang, P. -M. Horvathy, P. A. General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics Particles initially at rest hit by a passing sandwich gravitational wave exhibit, in general, thevelocity memory effect (VM): they fly apart with constant velocity. For specific values of the wave parameters their motion can however become pure displacement (DM) as suggested by Zel'dovich and Polnarev. For such a ``miraculous'' value, the particle trajectory is composed of an integer number of (approximate) standing half-waves. Our statements are illustrated numerically by a Gaussian, and analytically by the Pöschl-Teller profiles. |
| title | Displacement within velocity effect in gravitational wave memory |
| topic | General Relativity and Quantum Cosmology High Energy Physics - Theory Mathematical Physics |
| url | https://arxiv.org/abs/2405.12928 |