Publication date: Jun 2013
Abstract:
We study motion of an electric current-carrying string loop oscillating
in the vicinity of the Schwarzschild black hole immersed in an external
uniform magnetic field. The dependence of boundaries and different types
of motion of the string loop on magnetic field strength is found. The
dynamics of the string loop in the Cartesian xy plane depends both on
value and direction of the magnetic field and current. It is shown that
the magnetic field influence on the behavior of the string loop is quite
significant even for weak magnetic field strength. The oscillation of
the string loop becomes stronger or weaker in dependence on the
direction of the Lorenz force. We illustrate the various regimes of the
trajectories of the string loop that can fall down into the black hole,
escape to infinity, or be trapped in the finite region near the horizon
for the different representative values of the magnetic field. We have
also considered the flat spacetime limit as the condition of the escape
of the string loop from the neighborhood of the black hole to infinity.
We found the expression for the magnetic field strength for which the
oscillatory motion of the string loop totally vanishes and the string
loop can have maximal acceleration in the perpendicular direction to the
plane of the loop.
Authors:
Tursunov, Arman; Kološ, Martin; Ahmedov, Bobomurat; Stuchlík, Zdeněk;