出版社：SISSA, Scuola Internazionale Superiore di Studi Avanzati
摘要：We address the problem of finding steadily precessing nonlinear warped disk solutions for disks
around black holes. The disk is modeled as a collection of concentric, circular rings surrounding
a black hole. In our model, the rings interact with each other gravitationally, which causes precession
of the ring orbits around the direction of the total disk angular momentum. When the torque
around the line-of-nodes, i.e. where all the rings intersect, is zero, equilibrium inclinations can
be obtained fixing a common precession frequency. We show that there exists a scaling relation
between the parameters of the disk, and the black hole mass for a given warp shape. We find that
for a range of parameters, the disk might get highly warped, and obscure the central radiation
source. We also analyze the stability of such equilibrium solutions by perturbation theory, and
time integration of equations of motion.
