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arXiv · 2411.12411

Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric

Ivan Bizyaev
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Abstract

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.

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Ivan Bizyaev. 2024-11-19. Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric. https://doi.org/10.1103/physrevd.110.104031

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