Motion of charged particles near weakly magnetized Schwarzschild black hole

Details Motion of charged particles near weakly magnetized Schwarzschild black hole Motion of charged particles near weakly magnetized Schwarzschild black hole

2010-08-17

arxiv.org/abs/1008.2985v1

Phys.Rev.D82:084034,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 12 figures

Scientific paper

10.1103/PhysRevD.82.084034

We study motion of a charged particle in the vicinity of a weakly magnetized Schwarzschild black hole and focus on its bounded trajectories lying in the black hole equatorial plane. If the Lorentz force, acting on the particle, is directed outward from the black hole, there exist two qualitatively different types of trajectories, one is a curly motion and another one is a trajectory without curls. We calculated the critical value of the magnetic field for the transition between these two types. If the magnetic field is greater than the critical one, for fixed values of the particle energy and angular momentum, the bounded trajectory has curls. The curls appear as a result of the gravitational drift. The greater the value of the magnetic field, the larger is the number of curls. We constructed an approximate analytical solution for a bounded trajectory and found the gravitational drift velocity of its guiding center.

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