High accuracy simulations of black hole binaries: Spins anti-aligned with the orbital angular momentum
High accuracy simulations of black hole binaries: Spins anti-aligned with the orbital angular momentum
复制标题
黑洞双星的高精度模拟：自旋与轨道角动量反向排列
DOI：
--
复制
发表时间：
2009
期刊：
影响因子：
--
通讯作者：
M. Scheel
中科院分区：
文献类型：
--
作者：
T. Chu;H. Pfeiffer;M. Scheel
对于自旋与轨道角动量成反比的黑洞，给出了高精度的二元黑洞模拟。所研究的特殊情况代表了一个自旋大小相等的等质量双星S/m^2=0.437 57±0.000 01。该系统的初始轨道偏心率∼为4×10^(-5)，经过10.6个轨道加合并和环的演化。剩余质量和自旋分别为M_f=(0.961 10~9±0.000 )M和S_f/M_f^2=0.547 81±0.000 01，其中M是早期激发时的质量。引力波形在没有任何时间或相移的情况下积累了≲0.1弧度的数值相位误差，当波形与适当的时间和相移对齐时，积累了≲0.01弧度的数值相位误差。使用精确到≲0.01弧度的相位的程序将波形外推到无穷远，并且外推的波形与在有限半径r=350m处提取的波形相差最多0.13弧度和大约1%的幅度。模拟对波区的约束阻尼参数采用了不同的选择；这大大减少了垃圾辐射的影响，使得在模拟非常早的时候就可以提取干净的引力波信号。
High-accuracy binary black hole simulations are presented for black holes with spins anti-aligned with the orbital angular momentum. The particular case studied represents an equal-mass binary with spins of equal magnitude S/m^2=0.437 57±0.000 01. The system has initial orbital eccentricity ∼4×10^(-5), and is evolved through 10.6 orbits plus merger and ringdown. The remnant mass and spin are M_f=(0.961 109±0.000 003)M and S_f/M_f^2=0.547 81±0.000 01, respectively, where M is the mass during early inspiral. The gravitational waveforms have accumulated numerical phase errors of ≲0.1 radians without any time or phase shifts, and ≲0.01 radians when the waveforms are aligned with suitable time and phase shifts. The waveform is extrapolated to infinity using a procedure accurate to ≲0.01 radians in phase, and the extrapolated waveform differs by up to 0.13 radians in phase and about 1% in amplitude from the waveform extracted at finite radius r=350M. The simulations employ different choices for the constraint damping parameters in the wave zone; this greatly reduces the effects of junk radiation, allowing the extraction of a clean gravitational wave signal even very early in the simulation.