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arXiv 2507.11684astro-ph.GAgr-qc
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非球形核星团中超大质量双黑洞的演化

The evolution of a supermassive binary black hole in an non-spherical nuclear star cluster

Pavel B. Ivanov, Alexander G. Polnarev

AI总结:

研究了非球形核星团中不等质量超大质量双黑洞的长期轨道演化,发现非球形扰动可产生高偏心率轨道,该轨道通过引力波发射快速圆化,最终并合时仍保持显著偏心率。

摘要:

我们考虑了在非球形核星团(NSC)中心区域内,质量分别为 $M_p$ 和 $M_s < M_p$ 的不等质量超大质量双黑洞(SBBH)的长期轨道演化。当轨道内部的 NSC 质量小于 $M_s$ 时,动力学摩擦变得低效。此后,SBBH 的轨道演化主要受由 NSC 非球形产生的扰动潮汐势支配。当扰动势主要由方位角数为 $|m|=2$ 的四极谐波决定时,SBBH 的长期动力学不守恒任何角动量分量,并可能导致高偏心率轨道的形成。此类轨道可因引力波(GW)发射而经历高效的圆化。本文详细探讨了这一情况。我们通过解析和数值方法研究了轨道演化,考虑了 Einstein 近星点进动的重要效应,并估算了所能获得的最大 $e$ 值。随后,我们估算了在高偏心率轨道上通过发射引力波实现快速轨道圆化的可能性,其圆化时标与轨道周期相当。我们发现,我们的机制可能在大约或小于几 Gyr 的时标上导致此类事件。需要强调的是,对于特定的模型参数值,此类事件有时可与更标准场景中预期的事件区分开来,因为在我们的情况下,偏心率可能一直保持显著,直至最终并合。此外,我们的结果也可应用于其他天体物理环境,例如研究位于大质量变形气体云内的双星或原行星系统的轨道演化。

英文摘要:

(abridged) We consider a secular orbital evolution of a supermassive binary black hole (SBBH) with unequal masses $M_p$ and $M_s < M_p$ in a central part of a non-spherical nuclear star cluster (NSC). When the mass of NSC inside the orbit is smaller than $M_{s}$ dynamical friction becomes inefficient. The subsequent orbital evolution of SBBH is largely governed by perturbing tidal potential of NSC arising from its non-sphericity. When the perturbing potential is mainly determined by quadrupole harmonics with azimuthal number $|m|=2$ the secular dynamics of the SBBH does not conserve any components of the angular momentum and can lead to the formation of highly eccentric orbits. Such orbits can experience an efficient circularization due to emission of gravitational waves (GW). In this Paper we consider this situation in some detail. We study analytically and numerically the orbital evolution taking into account the important effect of Einstein apsidal precession and estimate the largest possible value of $e$, which can be obtained. We then estimate a possibility of fast orbital circularization through emission of gravitation waves on a highly eccentric orbit, with circularization timescale of the order of the orbital period. We find that our mechanism could result in such events on a time scale of the order of or smaller than a few Gyr. It is stressed that for particular values of the model parameters such events may sometimes be distinguished from the ones expected in more standard scenarios, since in our case the eccentricity may remain substantial all the way down to the final merger. It is also noted that our results can be applied to other astrophysical settings, e.g. to study the orbital evolution of a binary star or a proto planetary system inside a massive deformed gas cloud.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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