Regular and Chaotic Motion in General Relativity: The Case of a Massive Magnetic Dipole

0429139 - ASÚ 2015 RIV DE eng C - Conference Paper (international conference)
Kopáček, Ondřej - Kovář, J. - Karas, Vladimír - Kojima, Y.
Regular and Chaotic Motion in General Relativity: The Case of a Massive Magnetic Dipole.
Relativity and Gravitation, 100 Years after Einstein in Prague. Cham: Springer International Publishing, 2014 - (Bičák, J.; Ledvinka, T.), s. 373-383. Springer Proceedings in Physics, 157. ISBN 978-3-319-06760-5. ISSN 0930-8989.
[100 Years after Einstein in Prague. Prague (CZ), 25.06.2012-29.06.2012]
R&D Projects: GA ČR GA202/09/0772; GA MŠMT ME09036
Grant - others:GA ČR(CZ) GPP209/10/P190
Institutional support: RVO:67985815
Keywords : black holes * chaos
Subject RIV: BN - Astronomy, Celestial Mechanics, Astrophysics

Circular motion of particles, dust grains and fluids in the vicinity of compact objects has been investigated as a model for accretion of gaseous and dusty environment. Here we further discuss, within the framework of general relativity, figures of equilibrium of matter under the influence of combined gravitational and large-scale magnetic fields, assuming that the accreted material acquires a small electric charge due to interplay of plasma processes and photoionization. In particular, we employ an exact solution describing the massive magnetic dipole and we identify the regions of stable motion. We also investigate situations when the particle dynamics exhibits the onset of chaos. In order to characterize the measure of chaoticness we employ techniques of Poincaré surfaces of section and of recurrence plots.
Permanent Link: http://hdl.handle.net/11104/0234959