极端质量比螺旋率：对大质量黑洞质量的依赖
Extreme mass ratio inspiral rates: dependence on the massive black hole mass
摘要：
我们研究了恒星螺旋进入大质量黑洞（MBH）的速度，由于引力波（GW）的发射，作为MBH质量M的函数。在我们的模型的上下文中，它被解析地示出，该速率近似地依赖于MBH质量M^{-1/4}。数值模拟证实了这一结果，并表明，对于所有MBH质量，事件率最高的恒星黑洞，其次是白矮星，最低的中子星。激光干涉仪空间天线（LISA）预计每年将看到数百个这样的极端质量比吸气。由于这里导出的事件率形式上偏离M->0，这里提出的模型不能适用于质量太低的MBH，我们讨论了模型的局限性。
英文摘要：
We study the rate at which stars spiral into a massive black hole (MBH) due to the emission of gravitational waves (GWs), as a function of the mass M of the MBH. In the context of our model, it is shown analytically that the rate approximately depends on the MBH mass as M^{-1/4}. Numerical simulations confirm this result, and show that for all MBH masses, the event rate is highest for stellar black holes, followed by white dwarfs, and lowest for neutron stars. The Laser Interferometer Space Antenna (LISA) is expected to see hundreds of these extreme mass ratio inspirals per year. Since the event rate derived here formally diverges as M->0, the model presented here cannot hold for MBHs of masses that are too low, and we discuss what the limitations of the model are.
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