假暴跌是非常古怪的伪装真EMRI.他们控制着利率,对angular momentum壁垒一无所知
Fake plunges are very eccentric real EMRIs in disguise ... they dominate the rates and are blissfully ignorant of angular momentum barriers
摘要:
大质量黑洞(MBH)捕获星系核中的致密天体是绘制其周围时空的最佳方法。人们错误地认为,在捕获轨道上具有很高偏心率的恒星黑洞等致密天体在强烈的辐射爆发(称为“直接坠落”)后,系统就会消失。我们证明,这些非常偏心的捕获轨道实际上花费类似数量的周期在一个像丽莎的检测器,如果中央MBH旋转的偏心率较低。虽然高偏心率EMRI的速率较高,但自旋也提高了低偏心率EMRI的速率。最后一种受到了更多的关注,因为高偏心率EMRI被认为是直接暴跌,因此可以忽略不计。另一方面,最近的恒星动力学研究表明,在相空间中似乎有一个复杂的作用于这些低偏心率捕获,因为它们的速率显着降低的存在下,在轨道角动量变化的速度发生阻塞。这种所谓的“史瓦西势垒”是相对论性岁差对恒星势矩影响的结果,因此它影响了共振弛豫对低偏心率EMRI的增强。我们确认和量化这个障碍的存在,使用一个统计样本的2,500直接求和N体模拟使用后牛顿,但也是第一次,测地近似的相对论轨道。障碍的存在阻止了“传统EMRI”接近中央MBH,但如果中央MBH正在旋转,则速率将无论如何由高度偏心的极端质量比吸气主导,其傲慢地忽略障碍的存在,因为它们由两体松弛驱动。
英文摘要:
The capture of a compact object in a galactic nucleus by a massive black hole (MBH) is the best way to map space and time around it. Compact objects such as stellar black holes on a capture orbit with a very high eccentricity have been wrongly assumed to be lost for the system after an intense burst of radiation, which has been described as a "direct plunge". We prove that these very eccentric capture orbits spend actually a similar number of cycles in a LISA-like detector as those with lower eccentricities if the central MBH is spinning. Although the rates are higher for high-eccentricity EMRIs, the spin also enhances the rates of lower-eccentricity EMRIs. This last kind have received more attention because of the fact that high-eccentricity EMRIs were thought to be direct plunges and thus negligible. On the other hand, recent work on stellar dynamics has demonstrated that there seems to be a complot in phase space acting on these lower-eccentricity captures, since their rates decrease significantly by the presence of a blockade in the rate at which orbital angular momenta change takes place. This so-called "Schwarzschild barrier" is a result of the impact of relativistic precession on to the stellar potential torques, and thus it affects the enhancement on lower-eccentricity EMRIs that one would expect from resonant relaxation. We confirm and quantify the existence of this barrier using a statitical sample of 2,500 direct-summation N-body simulations using both a post-Newtonian but also, and for the first time, a geodesic approximation for the relativistic orbits. The existence of the barrier prevents "traditional EMRIs" from approaching the central MBH, but if the central MBH is spinning the rate will be anyway dominated by highly-eccentric extreme-mass ratio inspirals, which insolently ignore the presence of the barrier, because they are driven by two-body relaxation.
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