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| Main Author: | |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2411.12411 |
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| _version_ | 1866912128432078848 |
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| author | Bizyaev, Ivan |
| author_facet | Bizyaev, Ivan |
| contents | This paper investigates the trajectories of neutral particles in the Schwarzschild-Melvin spacetime. After reduction by cyclic coordinates this problem reduces to investigating a two-degree-of-freedom Hamiltonian system that has no additional integral. A classification of regions of possible motion of a particle is performed according to the values of the momentum and energy integrals. Bifurcations of periodic solutions of the reduced system are analyzed using a Poincare map. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_12411 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric Bizyaev, Ivan Dynamical Systems General Relativity and Quantum Cosmology This paper investigates the trajectories of neutral particles in the Schwarzschild-Melvin spacetime. After reduction by cyclic coordinates this problem reduces to investigating a two-degree-of-freedom Hamiltonian system that has no additional integral. A classification of regions of possible motion of a particle is performed according to the values of the momentum and energy integrals. Bifurcations of periodic solutions of the reduced system are analyzed using a Poincare map. |
| title | Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric |
| topic | Dynamical Systems General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2411.12411 |