THE OSCILLATORY SHAPE OF THE STATIONARY TWISTED DISC AROUND A KERR BLACK HOLE
THE OSCILLATORY SHAPE OF THE STATIONARY TWISTED DISC AROUND A KERR BLACK HOLE
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DOI：
10.1093/mnras/285.2.394
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发表时间：
1997-02
影响因子：
4.8
通讯作者：
P. Ivanov;A. Illarionov
中科院分区：
文献类型：
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作者：
P. Ivanov;A. Illarionov
考虑克尔黑洞周围的扭曲吸积盘，在相对厚度b、黏度ex和相对论修正rir等小参数下，导出了平稳性扭转方程。我们考虑了后牛顿修正，它决定了在小粘度极限下固定扭曲吸积盘的形状，例如< b4/S。我们发现由于这个修正，圆盘倾角P (r)的径向振荡现象。振荡周期约为Ar:::::；b -4/\，并随着距离r的减小而减小。我们对振荡行为进行了定性分析，并得出结论：当r < rf::::：足够小时，振荡很可能破坏低粘度的圆盘；b-3P(00)8/\。我们认为扭曲盘可能处于高度湍流状态，ex:::::；1在r < rf•
We consider the twisted accretion disc around a Kerr black hole and derive the stationary twist equation in the leading order on small parameters of relative thickness b, viscosity ex and relativistic corrections rir. We take into account postNewtonian corrections which determine the shape of the stationary twisted accretion disc in the limit of small viscosity, ex < b4/S• We find the phenomenon of radial oscillations of the disc inclination angle P (r) due to this correction. The period 6fthe oscillations is about Ar:::::; b -4/\ and decreases with decreasing distance r. We present a qualitative analysis of the oscillatory behaviour and conclude that the oscillations are likely to destroy a disc of low viscosity at sufficiently small r < rf :::::; b-3P ( 00 )8/\. We suggest that the twisted disc might be in a highly turbulent state with ex :::::; 1 at r < rf •