Three body first post-Newtonian effects on the secular dynamics of a compact binary near a spinning supermassive black hole
Three body first post-Newtonian effects on the secular dynamics of a compact binary near a spinning supermassive black hole
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DOI：
10.1103/physrevd.102.104002
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发表时间：
2020-04
影响因子：
5
通讯作者：
Yun Fang;Q. Huang
中科院分区：
文献类型：
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作者：
Yun Fang;Q. Huang
在星系核中的超大质量黑洞附近形成的双星黑洞由于受到超大质量黑洞引力的扰动，会受到偏心激发，从而更有效地合并。本文研究了三重体系中三体第一后牛顿(PN)效应与SMBH自旋效应的耦合。在长期动力学中，产生De-Sitter进动的三体1PN效应通常是解耦的，而它通过外轨道平面的Lense-Thirring进动与SMBH的自旋耦合。这种耦合包括一般坐标系中内轨道角动量的进动和外轨道角动量周围的Runge-Lenz矢量。我们关于三体1PN效应在三体系统中耦合的一般论点可以推广到任何其他情况，只要外轨道平面演化。
The binary black holes (BBHs) formed near the supermassive black holes (SMBHs) in the galactic nuclei would undergo eccentricity excitation due to the gravitational perturbations from the SMBH and therefore merger more efficiently. In this paper, we study the coupling of the three body 1st post-Newtonian (pN) effects with the spin effects from the SMBH in the hierarchical triple system. The three body 1pN effects yielding the de-Sitter precession is usually decoupled in the secular dynamics, while it couples to the spin of SMBH through the Lense-Thirring precession of the outer orbital plane. This coupling includes both the precessions of the inner orbit angular momentum and the Runge-Lenz vector around the outer orbit angular momentum in a general reference frame. Our general argument on the coupling of the three body 1pN effects in three body systems could be extended to any other situation as long as the outer orbital plane evolves.