黑洞周围弯曲介质中g模振荡的激发
Excitation of Trapped g-Mode Oscillations in Warped Disks around Black Holes
摘要：
为了研究在X射线双星中观测到的高频准周期振荡的起源，Kato（2004）提出了变形盘中盘振荡的共振激发机制。在本文中，我们研究数值，他的配方，是否被困g-模式振荡的翘曲盘，其中的翘曲振幅随半径变化，可以激发这种机制。为了简单起见，我们采用牛顿流体动力学方程与相对论表达式的特征频率的磁盘。我们还假设吸积盘是等温的。我们发现，捕获的g模振荡的本征频率接近超循环频率的最大值的基本模式被激发。发现的中间振荡被隔离在谐振半径周围的一个狭窄的区域。在改变一些参数后，我们发现增长率随翘曲振幅或黑洞自旋参数的增大而增大，随声速的增大而减小。
英文摘要：
In order to study the origin of high-frequency quasi-periodic oscillations observed in X-ray binaries, Kato (2004) suggested a resonant excitation mechanism of disk oscillations in deformed disks. In this paper, we study numerically, following his formulation, whether trapped g-mode oscillations in a warped disk, where the warp amplitude varies with radius, can be excited by this mechanism. For simplicity, we adopt Newtonian hydrodynamic equations with relativistic expressions for the characteristic frequencies of disks. We also assume that the accretion disk is isothermal. We find that the fundamental modes of trapped g-mode oscillations with eigenfrequencies close to the maximum of epycyclic frequency are excited. The intermediate oscillations found are isolated in a narrow region around the resonance radius. After varying some parameters, we find that the growth rate increases as the warp amplitude or the black hole spin parameter increases, while it decreases as the sound speed increases.
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