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标题：Self-Gravitating Warped Disks Around Black Holes
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作者：A. Ulubay-Siddiki
期刊名称：PoS - Proceedings of Science
印刷版ISSN：1824-8039
出版年度：2008
卷号：2008
期号：(02)
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.