Motion of charged particles near a weakly magnetized Schwarzschild black hole
By Valeri P. Frolov, Andrey A. Shoom. 2010
133 citations recorded by the source corpus.
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.
Subfields: Astronomy and Astrophysics, Statistical and Nonlinear Physics
View Paper: https://www.semanticscholar.org/paper/abe45ddde64fe14f70b29d2152f773759371e474
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In Astronomy and Astrophysics
Citations in the corpus
- Influence of Cosmic Repulsion and Magnetic Fields on Accretion Disks Rotating around Kerr Black Holes (2020, background): “The interplay of the electromagnetic Lorentz force and the gravity acting on the charged matter, represented by the specific charge q/m, can be reflected by a dimensionless “magnetic parameter” B introduced in [20,32] B = B 2 q m GM c4 .”