Lousto Carlos O, Healy James
Center for Computational Relativity and Gravitation, School of Mathematical Sciences, Rochester Institute of Technology, 85 Lomb Memorial Drive, Rochester, New York 14623, USA.
Phys Rev Lett. 2020 Nov 6;125(19):191102. doi: 10.1103/PhysRevLett.125.191102.
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 refinement levels around the smaller hole horizon [30] 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 eight-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: their 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.
我们进行了一系列质量比越来越小的双黑洞模拟，直至一个质量比为128:1的双黑洞，它在合并前展示了13个轨道。基于对q = m₁/m₂ = 1/15的非自旋情况的详细收敛性研究，我们在较小黑洞视界周围应用了额外的网格细化级别[30]，以依次达到q = 1/32、q = 1/64和q = 1/128的情况。在八节点模拟中大致观察到计算资源与1/q呈线性缩放关系。我们计算了合并的残余属性：最终质量、自旋和反冲速度，发现视界和辐射测量之间具有精确的一致性。我们还计算了引力波形：它们的峰值频率、振幅和光度。我们将这些值与相应现象学公式的预测进行比较，在2%的范围内再现了粒子极限，然后我们使用新结果来改进它们的拟合系数。
