Effective one-body Hamiltonian of two spinning black holes with next-to-next-to-leading order spin-orbit coupling

被引:67
|
作者
Nagar, Alessandro [1 ]
机构
[1] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France
来源
PHYSICAL REVIEW D | 2011年 / 84卷 / 08期
关键词
D O I
10.1103/PhysRevD.84.084028
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
Building on the recently computed next-to-next-to-leading order (NNLO) post-Newtonian spin-orbit Hamiltonian for spinning binaries [J. Hartung and J. Steinhoff, arXiv: 1104.3079.] we improve the effective-one-body description of the dynamics of two spinning black holes by including NNLO effects in the spin-orbit interaction. The calculation that is presented extends to NNLO the next-to-leading order spin-orbit Hamiltonian computed in [T. Damour, P. Jaranowski, and G. Schaefer, Phys. Rev. D 78, 024009 (2008).]. The present effective-one-body Hamiltonian reproduces the spin-orbit coupling through NNLO in the test-particle limit case. In addition, in the case of spins parallel or antiparallel to the orbital angular momentum, when circular orbits exist, we find that the inclusion of NNLO spin-orbit terms moderates the effect of the next-to-leading order spin-orbit coupling.
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页数:10
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