Journal of Siberian Federal University. Mathematics & Physics / Charged Particles Finite Motion in Gutsunaev-Manko Spacetime

Full text (.pdf)
Issue
Journal of Siberian Federal University. Mathematics & Physics. Prepublication
Authors
Tegai, Sergei Ph.; Kichigin, Ivan V.
Contact information
Tegai, Sergei Ph.: Siberian Federal University Krasnoyarsk, Russian Federation; OCRID: 0000-0002-4336-5646; Kichigin, Ivan V. : Siberian Federal University Krasnoyarsk, Russian Federation;
Keywords
general relativity; Størmer problem; periodic orbits; chaotic motion
Abstract

We study the motion of a charged particle in the Gutsunaev–Manko spacetime, which is an exact solution of the Einstein–Maxwell equations for a massive magnetic dipole. The problem is reduced to the motion in the two-dimensional effective potential. We find the circular orbits corresponding to potential stationary points not only within the equatorial plane but also under and above it. We show that the motion in the Gutsunaev–Manko spacetime retains such a property of the classical Størmer problem as the transition from periodic to quasi-periodic and chaotic trajectories. Furthermore, for certain parameter values, the Gutsunaev–Manko spacetime allows for the existence of families of periodic trajectories same as in the classical problem. However, for alternative parameter settings, the families of periodic orbits deviate noticeably from the classical ones

Pages
248–259
EDN
TGWSLB
Paper at repository of SibFU
https://elib.sfu-kras.ru/handle/2311/158130