Publication date: Nov 2010
We present our recent studies of charged particles motion out of the
equatorial plane in strong gravitational and electromagnetic fields.
Within the general relativistic approach, we have demonstrated that the
interplay between gravitational and electromagnetic action may allow for
stable off-equatorial circular motion along the so-called halo orbits
near compact objects, such as rotating magnetic compact stars and Kerr
black holes immersed in an asymptotically uniform magnetic field of
external origin. Locations of halo orbits correspond to minima of the
two-dimensional effective potential, which exhibits several
qualitativelly different kinds of behaviour, reflecting the charge of
moving particles and orientation of the motion. Along with the study of
the halo motion itself, we have discussed the general motion in the
related off-equatorial potential lobes, demonstrating its chaoticness or
regularity in terms of the Poincaré surfaces of sections and
recurrence plots. A possible outlook of this study is to build a single
test particles model of putative circumpulsar discs consisting of
charged dust particles.
Institute of Physics and Astronomical Institute have been operated under
the projects MSM 4781305903 and AV 0Z10030501, and further supported by
the Centre for Theoretical Astrophysics LC06014 in the Czech Republic.
JK, VK and ZS thank the Czech Science Foundation (ref. P209/10/P190,
205/07/0052, 202/09/0772). OK acknowledges the doctoral student program
of the Czech Science Foundation (205/09/H033).
Kovar, Jiri; Kopacek, O.; Karas, V.; Stuchlik, Z.;