Exploring the outer limits of numerical relativity
Exploring the outer limits of numerical relativity
复制标题
探索数值相对论的外部极限
DOI：
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发表时间：
2013
期刊：
影响因子：
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通讯作者：
Y. Zlochower
中科院分区：
文献类型：
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作者：
C. Lousto;Y. Zlochower
我们进行了几个黑洞的二进制演化完全非线性数值相对论技术在足够大的分离，低阶后牛顿展开预计是准确的。作为一个案例研究，我们从一个准圆轨道演化出一个等质量的非自旋黑洞双星，初始坐标间隔为D= 100 M，三种不同的分辨率。我们发现这个双星的轨道周期（在数值坐标中）为T= 6422 M。轨道运动与后牛顿理论的预测一致，误差在1%以内。有趣的是，我们发现，时间导数的坐标分离是由一个纯粹的规范效应，导致一个明显的收缩和膨胀的轨道在两倍的轨道频率占主导地位。在此基础上，我们改进了我们的演化方法，并分别对D= 20 M、D= 50 M和D= 100 M的一组准圆轨道黑洞双星进行了~ 5、3和2轨道的研究。我们发现数值计算结果和后牛顿预测的轨道频率和径向衰减率，辐射能量和角动量，波形振幅和相位之间的良好协议。结果是相关的长期波形的未来计算，以协助下一代探测器的引力波的探测和分析，以及长期模拟所需的黑洞双星准确模拟天体物理现实的环双星吸积盘。
We perform several black-hole binary evolutions using fully nonlinear numerical relativity techniques at separations large enough that low-order post-Newtonian expansions are expected to be accurate. As a case study, we evolve an equal-mass nonspinning black-hole binary from a quasicircular orbit at an initial coordinate separation of D=100M for three different resolutions. We find that the orbital period of this binary (in the numerical coordinates) is T=6422M. The orbital motion agrees with post-Newtonian predictions to within 1%. Interestingly, we find that the time derivative of the coordinate separation is dominated by a purely gauge effect leading to an apparent contraction and expansion of the orbit at twice the orbital frequency. Based on these results, we improved our evolution techniques and studied a set of black hole binaries in quasi-circular orbits starting at D=20M, D=50M, and D=100M for ~ 5, 3, and 2 orbits, respectively. We find good agreement between the numerical results and post-Newtonian predictions for the orbital frequency and radial decay rate, radiated energy and angular momentum, and waveform amplitude and phases. The results are relevant for the future computation of long-term waveforms to assist in the detection and analysis of gravitational waves by the next generation of detectors as well as the long-term simulations of black-hole binaries required to accurately model astrophysically realistic circumbinary accretion disks.