Higher-order-in-spin interaction Hamiltonians for binary black holes from source terms of Kerr geometry in approximate ADM coordinates

被引:62
作者
Hergt, Steven [1 ]
Schaefer, Gerhard [1 ]
机构
[1] Univ Jena, D-07743 Jena, Germany
来源
PHYSICAL REVIEW D | 2008年 / 77卷 / 10期
关键词
D O I
10.1103/PhysRevD.77.104001
中图分类号
P1 [天文学];
学科分类号
0704 ;
摘要
The Kerr metric outside the ergosphere is transformed into Arnowitt-Deser-Misner coordinates up to the orders 1/r(4) and a(2), respectively, in radial coordinate r and reduced angular momentum variable a, starting from the Kerr solution in quasi-isotropic as well as harmonic coordinates. The distributional source terms for the approximate solution are calculated. To leading order in linear momenta, higher-order-in-spin interaction Hamiltonians for black hole binaries are derived.
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页数:15
相关论文
共 35 条
[32]   Gravitomagnetic effects [J].
Schäfer, G .
GENERAL RELATIVITY AND GRAVITATION, 2004, 36 (10) :2223-2235
[33]  
SCHDFER G, 2005, ANN PHYS-LEIPZIG, V14, P148
[34]   LAWS OF MOTION AND PRECESSION FOR BLACK-HOLES AND OTHER BODIES [J].
THORNE, KS ;
HARTLE, JB .
PHYSICAL REVIEW D, 1985, 31 (08) :1815-1837
[35]  
Weinberg S., 1972, GRAVITATION COSMOLOG