Classification of the trajectories of uncharged particles in the Schwarzschild-Melvin metric
arXiv:2411.12411 · doi:10.1103/PhysRevD.110.104031
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.
Corrected typo in title
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