Puncture initial data for black-hole binaries with high spins and high boosts
Puncture initial data for black-hole binaries with high spins and high boosts
复制标题
刺穿具有高自旋和高增强的黑洞双星的初始数据
DOI：
10.1103/physrevd.95.024033
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发表时间：
2014
影响因子：
5
通讯作者：
Y. Zlochower
中科院分区：
文献类型：
--
作者：
Ian Ruchlin;J. Healy;C. Lousto;Y. Zlochower
我们解决了广义相对论的哈密顿量和动量约束的两个黑洞几乎极端的自旋和相对论性的提升在穿刺形式主义。我们使用一个非共形平坦的anadrons与衰减叠加的两个洛伦兹提升，共形克尔或共形史瓦西3度量和相应的外在曲率。我们将这些数据的演化与标准的Bowen-York共形平坦的Anxos（技术上限于内禀自旋$chi=S/M^2_{\text{ADM}}=0.928$和boosts $P/M_{\text{ADM}}=0.897$）进行比较，发现通常，一个数量级较小的虚假辐射爆发和符合螺旋和合并。作为第一个案例研究，我们从静止演化出两个等质量黑洞，初始间距为d= 12 M，自旋为$\chi_i= Si/m_i^2=0.99$，计算了碰撞产生的波形，辐射的能量和角动量，以及最后残余黑洞的反冲。我们发现，黑洞的轨道曲线在密切的分离，导致辐射的角动量。我们还研究了轨道非自旋和中等自旋黑洞双星，并将其与标准Bowen-York数据进行比较。我们发现，非物理的初始辐射脉冲的大幅减少，导致更干净的波形。最后，我们研究的情况下，轨道的双黑洞系统的自旋幅度$\chi_i=0.95$在对齐的配置和比较波形和最终的残留物的结果与SXS协作，发现非常好的协议。这代表了第一个移动的穿刺演化的轨道和旋转的黑洞超过鲍文约克限制。最后，为了提高模拟的精度和效率，我们研究了移动穿刺方法中初始时滞和时滞演化方程的不同选择。
We solve the Hamiltonian and momentum constraints of general relativity for two black holes with nearly extremal spins and relativistic boosts in the puncture formalism. We use a non-conformally-flat ansatz with an attenuated superposition of two Lorentz-boosted, conformally Kerr or conformally Schwarzschild 3-metrics and their corresponding extrinsic curvatures. We compare evolutions of these data with the standard Bowen-York conformally flat ansatz (technically limited to intrinsic spins $\chi=S/M^2_{\text{ADM}}=0.928$ and boosts $P/M_{\text{ADM}}=0.897$), finding, typically, an order of magnitude smaller burst of spurious radiation and agreement with inspiral and merger. As a first case study, we evolve two equal-mass black holes from rest with an initial separation of $d=12M$ and spins $\chi_i=S_i/m_i^2=0.99$, compute the waveforms produced by the collision, the energy and angular momentum radiated, and the recoil of the final remnant black hole. We find that the black-hole trajectories curve at close separations, leading to the radiation of angular momentum. We also study orbiting nonspinning and moderate-spin black-hole binaries and compare these with standard Bowen-York data. We find a substantial reduction in the nonphysical initial burst of radiation which leads to cleaner waveforms. Finally, we study the case of orbiting binary black-hole systems with spin magnitude $\chi_i=0.95$ in an aligned configuration and compare waveform and final remnant results with those of the SXS Collaboration, finding excellent agreement. This represents the first moving punctures evolution of orbiting and spinning black holes exceeding the Bowen-York limit. Finally, we study different choices of the initial lapse and lapse evolution equation in the moving punctures approach to improve the accuracy and efficiency of the simulations.