Success of the small mass-ratio approximation during the final orbits of binary black hole simulations
Success of the small mass-ratio approximation during the final orbits of binary black hole simulations
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DOI：
10.1103/physrevd.107.084021
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发表时间：
2022-07
影响因子：
5
通讯作者：
Sergi Navarro Albalat;A. Zimmerman;M. Giesler;M. Scheel
中科院分区：
文献类型：
--
作者：
Sergi Navarro Albalat;A. Zimmerman;M. Giesler;M. Scheel
最近的研究表明，小质量比近似（SMR）在模拟相对论性两体问题时，即使在质量相当的情况下，也具有惊人的有效性。到目前为止，这种有效性只在激励期间，在二进制转换为暴跌和合并之前被证明。本文研究了质量比从20:1到等质量的非自旋双黑洞的结合能。我们首次证明了双星经历了解析理论预测的从跃迁到暴跌的过程，并估计了过渡区域的大小，即等质量双星的引力波周期为$\sim 10$。通过包含跃迁，在引力波发射的最后一个周期之前，结合能的SMR扩展是准确的。即使是对于类似质量的双星，比如目前的引力波探测器观测到的双星，也是如此，在这些双星中，跃迁通常构成了观测到的大部分信号。我们的工作提供了进一步的证据，证明SMR近似可以直接应用于当前的引力波观测。
Recent studies have shown the surprising effectiveness of the small mass-ratio approximation (SMR) in modeling the relativistic two-body problem even at comparable masses. Up to now this effectiveness has been demonstrated only during inspiral, before the binary transitions into plunge and merger. Here we examine the binding energy of nonspinning binary black hole simulations with mass ratios from 20:1 to equal mass. We show for the first time that the binaries undergo a transition to plunge as predicted by analytic theory, and estimate the size of the transition region, which is $\sim 10$ gravitational wave cycles for equal mass binaries. By including transition, the SMR expansion of the binding energy is accurate until the last cycle of gravitational wave emission. This is true even for comparable mass binaries such as those observed by current gravitational wave detectors, where the transition often makes up much of the observed signal. Our work provides further evidence that the SMR approximation can be directly applied to current gravitational wave observations.