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arXiv 0709.2467astro-ph
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形变量子阱II中圆盘振荡的共振激发:一个高频QPO模型

Resonant Excitation of Disk Oscillations in Deformed Disks II: A Model of High Frequency QPOs

Shoji Kato

摘要:

放大的磁盘振荡之间的振荡和磁盘变形的非线性共振耦合所造成的。盘是几何薄和广义相对论与非旋转的中心源。采用拉格朗日公式。作者在几年前研究了同样的问题,但在这里我们以更有远见的方式导出了一个一般的稳定性准则。另一个不同于以前的工作是,除了变形是翘曲的情况下,变形是一个单臂图案对称的赤道平面的情况下被认为是。结果表明,除了已有的在翘曲圆盘中水平共振放大惯性声模和g模振荡的结果外,在相对于赤道面对称的单臂变形圆盘中水平共振也放大了惯性声模和g模振荡。如果我们考虑在其传播区域的边界周围局部化的局部振荡,则共振发生在$4r_{\rm g}$处,其中$r_{\rm g}$是史瓦西半径。如果考虑非局部振荡,则指定振荡被共振放大的振荡频率范围。

英文摘要:

The amplification of disk oscillations resulting from nonlinear resonant couplings between the oscillations and a disk deformation is examined. The disk is geometrically thin and general relativistic with a non-rotating central source. A Lagrangian formulation is adopted. The author examined the same problem a few years ago, but here we derive a general stability criterion in a more perspective way. Another distinct point from the previous work is that in addition to the case where the deformation is a warp, the case where the deformation is a one-armed pattern symmetric with respect to the equatorial plane is considered. The results obtained show that in addition to the previous results that the inertial-acoustic mode and g-mode oscillations are amplified by horizontal resonance in warped disks, they also amplified by horizontal resonance in disks deformed by one-armed pattern symmetric with respect to the equatorial plane. If we consider local oscillations that are localized around boundaries of their propagation region, the resonance occurs at $4r_{\rm g}$, where $r_{\rm g}$ is the Schwarzschild radius. If nonlocal oscillations are considered, frequency ranges of oscillations where oscillations are resonantly amplified are specified.

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