Gravitational self-force on a particle in circular orbit around a Schwarzschild black hole

被引:121
作者
Barack, Leor [1 ]
Sago, Norichika [1 ]
机构
[1] Univ Southampton, Sch Math, Southampton SO17 1BJ, Hants, England
来源
PHYSICAL REVIEW D | 2007年 / 75卷 / 06期
基金
英国科学技术设施理事会;
关键词
D O I
10.1103/PhysRevD.75.064021
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
We calculate the gravitational self-force acting on a pointlike particle of mass mu, set in a circular geodesic orbit around a Schwarzschild black hole. Our calculation is done in the Lorenz gauge: For given orbital radius, we first solve directly for the Lorenz-gauge metric perturbation using numerical evolution in the time domain; we then compute the (finite) backreaction force from each of the multipole modes of the perturbation; finally, we apply the "mode-sum" method to obtain the total, physical self-force. The temporal component of the self-force (which is gauge invariant) describes the dissipation of orbital energy through gravitational radiation. Our results for this component are consistent, to within the computational accuracy, with the total flux of gravitational-wave energy radiated to infinity and through the event horizon. The radial component of the self-force (which is gauge dependent) is calculated here for the first time. It describes a conservative shift in the orbital parameters away from their geodesic values. We thus obtain the O(mu) correction to the specific energy and angular momentum parameters (in the Lorenz gauge), as well as the O(mu) shift in the orbital frequency (which is gauge invariant).
引用
收藏
页数:25
相关论文
共 46 条
[1]   Perturbations of Schwarzschild black holes in the Lorenz gauge: Formulation and numerical implementation [J].
Barack, L ;
Lousto, CO .
PHYSICAL REVIEW D, 2005, 72 (10)
[2]   LISA capture sources: Approximate waveforms, signal-to-noise ratios, and parameter estimation accuracy [J].
Barack, L ;
Cutler, C .
PHYSICAL REVIEW D, 2004, 69 (08) :24
[3]   Mode sum regularization approach for the self-force in black hole spacetime [J].
Barack, L ;
Ori, A .
PHYSICAL REVIEW D, 2000, 61 (06)
[4]   Regularization parameters for the self-force in Schwarzschild spacetime. II. Gravitational and electromagnetic cases [J].
Barack, L ;
Ori, A .
PHYSICAL REVIEW D, 2003, 67 (02)
[5]   Gravitational self-force on a particle orbiting a Kerr black hole [J].
Barack, L ;
Ori, A .
PHYSICAL REVIEW LETTERS, 2003, 90 (11) :4
[6]   Computing the gravitational self-force on a compact object plunging into a Schwarzschild black hole [J].
Barack, L ;
Lousto, CO .
PHYSICAL REVIEW D, 2002, 66 (06)
[7]   Calculating the gravitational self-force in Schwarzschild spacetime [J].
Barack, L ;
Mino, Y ;
Nakano, H ;
Ori, A ;
Sasaki, M .
PHYSICAL REVIEW LETTERS, 2002, 88 (09) :911011-911014
[8]   Gravitational self-force and gauge transformations [J].
Barack, L ;
Ori, A .
PHYSICAL REVIEW D, 2001, 64 (12)
[9]   Gravitational self-force by mode sum regularization [J].
Barack, L .
PHYSICAL REVIEW D, 2001, 64 (08)
[10]   Radiation-reaction force on a particle plunging into a black hole [J].
Barack, L ;
Burko, LM .
PHYSICAL REVIEW D, 2000, 62 (08) :1-5