论文标题
通过ZENO的二分法方法探索较小的质量比二进制黑洞合并
Exploring the small mass ratio binary black hole merger via Zeno's dichotomy approach
论文作者
论文摘要
我们执行一系列具有越来越小的质量比的二进制黑洞模拟，达到128：1二元，在合并之前显示13个轨道。基于$ Q = M_1/M_2 = 1/15 $非封闭情况的详细收敛研究，我们在较小的孔层周围应用了其他网格改进水平，以连续到达$ q = 1/32 $，$ q = 1/64 $，$ q = 1/128 $。在8个节点模拟上观察到以$ 1/Q $的缩放大约是线性计算资源缩放。我们计算合并的残余特性：最终质量，自旋和后坐力速度，在地平线和辐射测量之间找到精确的一致性。我们还计算引力波形：其峰值频率，振幅和光度。我们将这些值与相应现象学公式的预测进行了比较，并在2％内重现了粒子极限，然后我们使用新的结果来改善其拟合系数。
We perform a sequence of binary black hole simulations with increasingly small mass ratios, reaching to a 128:1 binary that displays 13 orbits before merger. Based on a detailed convergence study of the $q=m_1/m_2=1/15$ nonspinning case, we apply additional mesh refinements levels around the smaller hole horizon to reach successively the $q=1/32$, $q=1/64$, and $q=1/128$ cases. Roughly a linear computational resources scaling with $1/q$ is observed on 8-nodes simulations. We compute the remnant properties of the merger: final mass, spin, and recoil velocity, finding precise consistency between horizon and radiation measures. We also compute the gravitational waveforms: its peak frequency, amplitude, and luminosity. We compare those values with predictions of the corresponding phenomenological formulas, reproducing the particle limit within 2%, and we then use the new results to improve their fitting coefficients.
