K. Hirotani, COLLIMATION OF HIGHLY VARIABLE MAGNETOHYDRODYNAMIC DISTURBANCES AROUND A ROTATING BLACK-HOLE, The Astrophysical journal, 500(2), 1998, pp. 632-641
We have studied nonstationary and nonaxisymmetric perturbations of a m
agnetohydrodynamic accretion onto a rotating (Kerr) black hole. Assumi
ng that the magnetic field dominates the plasma accretion, we find tha
t the accretion suffers a large radial acceleration resulting from the
Lorentz force and becomes highly variable compared with the electroma
gnetic field on the rotating black hole. In fact, we further find an i
nteresting perturbed structure of the plasma velocity with a large pea
k in some narrow region located slightly inside of the fast-magnetoson
ic surface. This is due to the concentrated propagation of the fluid d
isturbances in the form of fast-magnetosonic waves along the separatri
x surface. If the fast-magnetosonic speed is smaller in the polar regi
ons than in the equatorial regions, the critical surface has a prolate
shape for radial poloidal field lines. In this case, only the waves t
hat propagate toward the equator can escape from the super-fast-magnet
osonic region and collimate poleward as they propagate outward in the
sub-fast-magnetosonic regions. We further discuss the capabilities of
such collimated waves in accelerating particles due to cyclotron reson
ance in an electron-positron plasma.