Publication date: Apr 2016
Abstract:
We study the motion of charged particles in the field of a rotating
black hole immersed into an external asymptotically uniform magnetic
field, focusing on the epicyclic quasicircular orbits near the
equatorial plane. Separating the circular orbits into four qualitatively
different classes according to the sign of the canonical angular
momentum of the motion and the orientation of the Lorentz force, we
analyze the circular orbits using the so-called force formalism. We find
the analytical solutions for the radial profiles of velocity, specific
angular momentum, and specific energy of the circular orbits in
dependence on the black-hole dimensionless spin and the magnetic field
strength. The innermost stable circular orbits are determined for all
four classes of the circular orbits. The stable circular orbits with an
outward-oriented Lorentz force can extend to radii lower than the radius
of the corresponding photon circular geodesic. We calculate the
frequencies of the harmonic oscillatory motion of the charged particles
in the radial and vertical directions related to the equatorial circular
orbits and study the radial profiles of the radial, ωr;
vertical, ωθ; and orbital,
ωϕ, frequencies, finding significant differences
in comparison to the epicyclic geodesic circular motion. The most
important new phenomenon is the existence of toroidal charged particle
epicyclic motion with
ωr˜ωθ≫ωϕ
that could occur around retrograde circular orbits with an
outward-oriented Lorentz force. We demonstrate that for the rapidly
rotating black holes the role of the "Wald induced charge" can be
relevant.
Authors:
Tursunov, Arman; Stuchlík, Zdeněk; Kološ, Martin;