Gravitational self-force regularization in the Regge-Wheeler and easy gauges

被引：10
作者：
Thompson, Jonathan E. [1 ]
Wardell, Bany [2 ,3 ]
Whiting, Bernard F. [1 ]
机构：
[1] Univ Florida, Dept Phys, POB 118440, Gainesville, FL 32611 USA
[2] Univ Coll Dublin, Sch Math Sci, Dublin 4, Ireland
[3] Univ Coll Dublin, Complex & Adapt Syst Lab, Dublin 4, Ireland
来源：
PHYSICAL REVIEW D | 2019年 / 99卷 / 12期
基金：
美国国家科学基金会;
关键词：
RADIATION REACTION; PARTICLE; MOTION;
D O I：
10.1103/PhysRevD.99.124046
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
We present numerical results for the gravitational self-force and redshift invariant calculated in the Regge-Wheeler and easy gauges for circular orbits in a Schwarzschild background, utilizing the regularization framework introduced by Pound, Merlin, and Barack. The numerical calculation is performed in the frequency domain and requires the integration of a single second-order ordinary differential equation, greatly improving computation times over more traditional Lorenz gauge numerical methods. A sufficiently high-order, analytic expansion of the Detweiler-Whiting singular field is gauge transformed to both the Regge-Wheeler and easy gauges and used to construct tensor-harmonic mode-sum regularization parameters. We compare our results to the gravitational self-force calculated in the Lorenz gauge by explicitly gauge transforming the Lorenz gauge self-force to the Regge-Wheeler and easy gauges, and find that our results agree to a relative accuracy of 10(-15) for an orbital radius of r(0) = 6M and 10(-16) for an orbital radius of r(0) = 10M.
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页数：31
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