The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
The Kozai Mechanism and the Evolution of Binary Supermassive Black Holes
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DOI：
10.1086/342655
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发表时间：
2002-03
期刊：
影响因子：
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通讯作者：
O. Blaes;M. Lee;A. Socrates
中科院分区：
文献类型：
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作者：
O. Blaes;M. Lee;A. Socrates
我们考虑的动力学演化的绑定，层次的三重超大质量黑洞，可能会形成在星系核进行顺序合并。外黑洞对内双星的引潮力通过Kozai机制产生偏心振荡，从而大大缩短了内双星的引力波合并时间。我们数值计算的合并时间为广泛的初始条件和黑洞的质量比，包括八极相互作用的三重以及广义相对论近星点进动的内部二进制的影响。内外双星的半长轴和互倾是影响合并时间的最重要因素。我们发现，对于一个随机分布的倾斜角和近似相等的质量黑洞，它是可能的，以减少合并时间的近圆形内二进制的超过10倍，在超过50%的所有情况下。我们估计，一个典型的外部四极矩从周围的物质在星系中也可能足以激发偏心振荡超大质量黑洞双星和加速黑洞合并。
We consider the dynamical evolution of bound, hierarchical triples of supermassive black holes that might be formed in the nuclei of galaxies undergoing sequential mergers. The tidal force of the outer black hole on the inner binary produces eccentricity oscillations through the Kozai mechanism, and this can substantially reduce the gravitational wave merger time of the inner binary. We numerically calculate the merger time for a wide range of initial conditions and black hole mass ratios, including the effects of octupole interactions in the triple as well as general relativistic periastron precession in the inner binary. The semimajor axes and the mutual inclination of the inner and outer binaries are the most important factors affecting the merger time. We find that for a random distribution of inclination angles and approximately equal mass black holes, it is possible to reduce the merger time of a near circular inner binary by more than a factor of 10 in over 50% of all cases. We estimate that a typical exterior quadrupole moment from surrounding matter in the galaxy may also be sufficient to excite eccentricity oscillations in supermassive black hole binaries and to accelerate black hole mergers.