High-accuracy waveforms for binary black hole inspiral, merger, and ringdown

High-accuracy waveforms for binary black hole inspiral, merger, and ringdown
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双黑洞吸气、合并和衰荡的高精度波形

DOI:
10.1103/physrevd.79.024003
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发表时间:
2008
期刊:
影响因子:
5
通讯作者:
H. Pfeiffer
H. Pfeiffer
中科院分区:
物理与天体物理2区
文献类型:
--
作者:
M. Scheel;M. Boyle;T. Chu;Lawrence E. Kidder;Keith D. Matthews;H. Pfeiffer

文献摘要

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首次对等质量非自旋双黑洞系统的16个轨道、合并和衰荡进行了谱数值模拟。来自这些模拟的重力波形通过振铃累积了数值相位误差,当从模拟开始测量时,振铃<~0.1弧度,当波形被时间和相移以在峰值幅度处一致时,振铃<~0.02弧度。观测者在无穷远处看到的波形是由在有限半径处通过相位精确到<~0.01弧度的外推过程计算的波形确定的。在无限远处的这个波形和在r= 100 M的有限半径处测量的波形之间的相位差大约是半个弧度。最终质量与初始质量之比为Mf/M=0.951 62±0.000 02,最终黑洞自旋为Sf/Mf^2=0.686 46±0.000 04。
The first spectral numerical simulations of 16 orbits, merger, and ringdown of an equal-mass nonspinning binary black hole system are presented. Gravitational waveforms from these simulations have accumulated numerical phase errors through ringdown of <~0.1 radian when measured from the beginning of the simulation, and <~0.02 radian when waveforms are time and phase shifted to agree at the peak amplitude. The waveform seen by an observer at infinity is determined from waveforms computed at finite radii by an extrapolation process accurate to <~0.01 radian in phase. The phase difference between this waveform at infinity and the waveform measured at a finite radius of r=100M is about half a radian. The ratio of final mass to initial mass is Mf/M=0.951 62±0.000 02, and the final black hole spin is Sf/Mf^2=0.686 46±0.000 04.