期刊
PUBLICATIONS OF THE ASTRONOMICAL SOCIETY OF JAPAN
卷 56, 期 5, 页码 905-922出版社
OXFORD UNIV PRESS
DOI: 10.1093/pasj/56.5.905
关键词
accretion, accretion disks; black holes; kiloherz quasi-periodic oscillations; relativity; warps; X-rays : stars
The amplification of disk oscillations resulting from non-linear resonant couplings between the oscillations and a warp is examined. The disks are geometrically thin and general relativistic with non-rotating central objects. By using a Lagrangian formulation, a general stability criterion is derived. The criterion is applied to horizontal and vertical resonances of g-mode oscillations and to horizontal resonances of p-mode oscillations. The results of analyses show that g-mode oscillations (including p-mode oscillations of n = 0) are amplified by horizontal resonances with the warp. Other modes of oscillations with other resonances are all damped by resonances. The amplified g-mode oscillations are located around the radius 4 r(g), the radius of the epicyclic frequency being maximum, i.e., kappa(max). The frequencies of amplified oscillations are harmonics Of kappa(max), and well explain the 2: 3 pairs of observed QPOs for reasonable masses (and spins) of the central objects.
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