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arXiv 0910.4594gr-qcastro-ph.CO
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合并黑洞双星衰荡相的引力波反冲

Gravitational-Wave Recoil from the Ringdown Phase of Coalescing Black Hole Binaries

Alexandre Le Tiec, Luc Blanchet, Clifford M. Will

摘要:

由两个轨道黑洞并合而成的黑洞的引力反冲或“反冲”是一种重要的天体物理现象。我们结合(i)早期的计算,使用后牛顿理论,累积到合并的两个非旋转的黑洞的反冲速度,(ii)的“封闭极限近似”计算的辐射在衰荡阶段,并根据解决方案的Regge-Wheeler和Zerilli方程使用初始数据精确到第二后牛顿秩序。我们证明,振铃辐射产生了显着的“反踢”。加上由于螺旋,合并和衰荡阶段的贡献,我们的结果的净反冲速度同意从数值相对论的10- 15%,在很宽的质量比范围内,与最大速度为180公里/秒的质量比为0.38。

英文摘要:

The gravitational recoil or "kick" of a black hole formed from the merger of two orbiting black holes, and caused by the anisotropic emission of gravitational radiation, is an astrophysically important phenomenon. We combine (i) an earlier calculation, using post-Newtonian theory, of the kick velocity accumulated up to the merger of two non-spinning black holes, (ii) a "close-limit approximation" calculation of the radiation emitted during the ringdown phase, and based on a solution of the Regge-Wheeler and Zerilli equations using initial data accurate to second post-Newtonian order. We prove that ringdown radiation produces a significant "anti-kick". Adding the contributions due to inspiral, merger and ringdown phases, our results for the net kick velocity agree with those from numerical relativity to 10-15 percent over a wide range of mass ratios, with a maximum velocity of 180 km/s at a mass ratio of 0.38.

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