Author:
Chen Wei-Ming,Chung Ming-Zhi,Huang Yu-tin,Kim Jung-Wook
Abstract
Abstract
From the S-matrix of spinning particles, we extract the 2 PM conservative potential for binary spinning black holes up to quartic order in spin operators. An important ingredient is the exponentiated gravitational Compton amplitude in the classical spin-limit for all graviton helicity sectors. The validity of the resulting Hamiltonian is verified by matching to known lower spin order results, as well as direct computation of the 2PM impulse and spin kicks from the eikonal phase and that from the test black hole scattering based on Mathisson-Papapetrou-Dixon equations.
Publisher
Springer Science and Business Media LLC
Subject
Nuclear and High Energy Physics
Reference119 articles.
1. LIGO Scientific and Virgo collaborations, Observation of Gravitational Waves from a Binary Black Hole Merger, Phys. Rev. Lett. 116 (2016) 061102 [arXiv:1602.03837] [INSPIRE].
2. LIGO Scientific and Virgo collaborations, GW170817: Observation of Gravitational Waves from a Binary Neutron Star Inspiral, Phys. Rev. Lett. 119 (2017) 161101 [arXiv:1710.05832] [INSPIRE].
3. A. Einstein, L. Infeld and B. Hoffmann, The Gravitational equations and the problem of motion, Annals Math. 39 (1938) 65 [INSPIRE].
4. T. Ohta, H. Okamura, T. Kimura and K. Hiida, Physically acceptable solution of Einstein’s equation for many-body system, Prog. Theor. Phys. 50 (1973) 492 [INSPIRE].
5. P. Jaranowski and G. Schaefer, Third postNewtonian higher order ADM Hamilton dynamics for two-body point mass systems, Phys. Rev. D 57 (1998) 7274 [Erratum ibid. 63 (2001) 029902] [gr-qc/9712075] [INSPIRE].
Cited by
48 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献