Gravitational scattering of two black holes at the fourth post-Newtonian approximation

被引：68

作者：

Bini, Donato ^{[1
]}

Damour, Thibault ^{[2
]}

机构：

[1] CNR, Isti Applicaz Calcolo M Picone, I-00185 Rome, Italy

[2] Inst Hautes Etud Sci, F-91440 Bures Sur Yvette, France

来源：

PHYSICAL REVIEW D | 2017年 / 96卷 / 06期

关键词：

PARTICLES;

D O I：

10.1103/PhysRevD.96.064021

中图分类号：

P1 [天文学];

学科分类号：

0704 ;

摘要：

We compute the (center-of-mass frame) scattering angle. of hyperboliclike encounters of two spinning black holes, at the fourth post-Newtonian approximation level for orbital effects, and at the next-to-next-to-leading order for spin-dependent effects. We find it convenient to compute the gauge-invariant scattering angle (expressed as a function of energy, orbital angular momentum and spins) by using the effective-onebody formalism. The contribution to scattering associated with nonlocal, tail effects is computed by generalizing to the case of unbound motions the method of time localization of the action introduced in the case of (small-eccentricity) bound motions by Damour et al. [Phys. Rev. D 91, 084024 (2015)].

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