近极端Kerr黑洞Kepler盘的LNRF速度峰诱导振荡：GRS 1915+105中高频QPO的可能解释
LNRF-velocity hump-induced oscillations of a Keplerian disc orbiting near-extreme Kerr black hole: A possible explanation of high-frequency QPOs in GRS 1915+105
摘要：
在一个包含近极端Kerr黑洞的双星系统GRS 1915+105中，至少有四个频率为41 Hz、67 Hz、113 Hz和167 Hz的高频准周期振荡（QPO）被报道。我们使用的想法引起的驼峰的轨道速度轮廓（有关的本地非旋转框架- LNRF）在光盘轨道近极端克尔黑洞，其特征在于由一个“驼峰频率”f_h，这可能会激发径向和垂直周转振荡频率f_r，f_v。由于非线性共振现象的组合频率是允许的。假设GRS 1915+105 Kerr黑洞的质量M=14.8M_sun，自旋a=0.9998，模型预测的频率f_h= 41 Hz，f_r= 67 Hz，（f_h+f_r）= 108 Hz，（f_v-f_r）= 170 Hz与观测值相当符合。在黑洞参数与观测值符合较好的情况下，开普勒盘中“驼峰诱导”振荡激发的非线性振荡中的强迫共振现象，在观测误差范围内，可以解释GRS 1915+105中的高频QPO。
英文摘要：
At least four high-frequency quasiperiodic oscillations (QPOs) at frequencies 41Hz, 67Hz, 113Hz, and 167Hz were reported in a binary system GRS 1915+105 hosting near-extreme Kerr black hole with a dimensionless spin a>0.98. We use the idea of oscillations induced by the hump of the orbital velocity profile (related to locally non-rotating frames - LNRF) in discs orbiting near-extreme Kerr black holes, which are characterized by a "humpy frequency" f_h, that could excite the radial and vertical epicyclic oscillations with frequencies f_r, f_v. Due to non-linear resonant phenomena the combinational frequencies are allowed as well. Assuming mass M=14.8M_sun and spin a=0.9998 for the GRS 1915+105 Kerr black hole, the model predicts frequencies f_h=41Hz, f_r=67Hz, (f_h+f_r)=108Hz, (f_v-f_r)=170Hz corresponding quite well to the observed ones. For black-hole parameters being in good agreement with those given observationally, the forced resonant phenomena in non-linear oscillations, excited by the "hump-induced" oscillations in a Keplerian disc, can explain high-frequency QPOs in GRS 1915+105 within the range of observational errors.
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