论文标题
中间质量比的研究黑洞二进制合并高达1000：1，数值相对论
Study of the Intermediate Mass Ratio Black Hole Binary Merger up to 1000:1 with Numerical Relativity
论文作者
论文摘要
我们明确证明了当前的数值相对论技术能够准确地进化为1000：1级质量比的黑洞二进制文件。该原理证明与未来的第三代（3G）重力波检测器和空间任务Lisa有关，就像通过纯粹的数值方法一样，我们将能够从黑洞合并的最后阶段准确地计算重力波，正如一般相对性直接预测的那样。我们在中间与小质量比制度中执行一系列模拟，$ m_1^p/m_2^p = 1/7、1/16、1/32、1/32、1/64、1/128、1/256、1/512、1/1024 $，小孔以适当的距离启动时，以适当的距离$ d $ d \ d \ y \ y \ y \ y \ of。我们将这些Headon全数值演变与相应的半分析点粒子扰动结果进行比较，发现总重力辐射能量和线性动量以及波形光谱是令人印象深刻的一致性。我们显示结果的数值收敛性，并确定准确求解这些非常低振幅重力波所需的最低数值分辨率。这项工作是朝着迈出的巨大挑战迈出的第一步，即将数值余化性波形应用于解释LISA和下一代地面的重力波检测器的重力波观测。
We explicitly demonstrate that current numerical relativity techniques are able to accurately evolve black hole binaries with mass ratios of the order of 1000:1. This proof of principle is relevant for future third generation (3G) gravitational wave detectors and space mission LISA, as by purely numerical methods we would be able to accurately compute gravitational waves from the last stages of black hole mergers, as directly predicted by general relativity. We perform a sequence of simulations in the intermediate to small mass ratio regime, $m_1^p/m_2^p = 1/7, 1/16, 1/32, 1/64, 1/128, 1/256, 1/512, 1/1024$, with the small hole starting from rest at a proper distance $D\approx13M$. We compare these headon full numerical evolutions with the corresponding semianalytic point particle perturbative results finding an impressive agreement for the total gravitational radiated energy and linear momentum as well as for the waveform spectra. We display numerical convergence of the results and identify the minimal numerical resolutions required to accurately solve for these very low amplitude gravitational waves. This work represents a first step towards the considerable challenge of applying numerical-relativity waveforms to interpreting gravitational-wave observations by LISA and next-generation ground-based gravitational-wave detectors.
