Three body first post-Newtonian effects on the secular dynamics of a compact binary near a spinning supermassive black hole

被引:12
作者
Fang, Yun [1 ,2 ]
Huang, Qing-Guo [1 ,2 ,3 ,4 ,5 ]
机构
[1] Chinese Acad Sci, Inst Theoret Phys, CAS Key Lab Theoret Phys, Beijing 100190, Peoples R China
[2] Univ Chinese Acad Sci, Sch Phys Sci, 19A Yuquan Rd, Beijing 100049, Peoples R China
[3] UCAS, Inst Adv Study, Sch Fundamental Phys & Math Sci Hangzhou, Hangzhou 310024, Peoples R China
[4] Yangzhou Univ, Coll Phys Sci & Technol, Ctr Gravitat & Cosmol, Yangzhou 225009, Jiangsu, Peoples R China
[5] Hunan Normal Univ, Synerget Innovat Ctr Quantum Effects & Applicat, Changsha 410081, Peoples R China
关键词
GRAVITATIONAL-WAVE SOURCES; GALACTIC NUCLEI; MERGERS; PERTURBATIONS;
D O I
10.1103/PhysRevD.102.104002
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
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. We extend previous work by including the coupling between the de Sitter precession and the Lense-Thirring precession from the SMBH spin. 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. We find the change of the (maximal) eccentricity in the neighboring Kozai-Lidov cycles due to spin effects is detectable by LISA in the future. 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.
引用
收藏
页数:12
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