利用LISA探索无毛定理
Exploring the no-hair theorem with LISA
AI总结：
本文研究利用LISA探测大质量黑洞双星铃宕引力波检验无毛定理，比较与模型无关的QNM分析和针对广义相对论偏离的方法，并预测不同源参数下的检验精度。
摘要：
在本研究中，我们探索利用激光干涉仪空间天线（LISA）频段内大质量黑洞双星产生的引力波来检验无毛定理的可能性。基于LISA的灵敏度，我们考虑其在铃宕阶段探测可能偏离广义相对论（GR）的能力。我们采用两种方法：一种是与模型无关的准正则模（QNM）分析，另一种是针对给定QNM明确检验广义相对论偏离的方法。两种方法都允许我们将广义相对论的分数偏离作为估计参数，或通过比较由不同QNM估计的质量和自旋来得到偏离。然而，根据我们是否依赖并合前或旋近-并合-铃宕（IMR）分析中源参数的先验知识，估计的偏离可能会有所不同。在某些假设下，第二种针对广义相对论分数偏离的方法使我们能够以高准确度和高精度恢复注入值。对于（3,3,0）模式，我们在（δω, δτ）上获得（5%, 10%）的不确定度，对于（4,4,0）模式则为（3%, 17%）。由于每种方法约束不同的特征，我们得出结论：要执行更好的检验，有必要结合这两种方法。在此分析中，我们还预测了LISA可观测的质量和距离范围内源估计偏离参数的精度。
英文摘要：
In this study, we explore the possibility of testing the no-hair theorem with gravitational waves from massive black hole binaries in the frequency band of the Laser Interferometer Space Antenna (LISA). Based on its sensitivity, we consider LISA's ability to detect possible deviations from general relativity (GR) in the ringdown. Two approaches are considered: an agnostic quasi-normal mode (QNM) analysis, and a method explicitly targeting the deviations from GR for given QNMs. Both approaches allow us to find fractional deviations from general relativity as estimated parameters or by comparing the mass and spin estimated from different QNMs. However, depending on whether we rely on the prior knowledge of the source parameters from a pre-merger or inspiral-merger-ringdown (IMR) analysis, the estimated deviations may vary. Under some assumptions, the second approach targeting fractional deviations from GR allows us to recover the injected values with high accuracy and precision. We obtain $(5\%, 10\%)$ uncertainty on ($δω, δτ)$ for the $(3,3,0)$ mode, and $(3\%, 17\%)$ for the $(4,4,0)$ mode. As each approach constrains different features, we conclude that combining both methods would be necessary to perform a better test. In this analysis, we also forecast the precision of the estimated deviation parameters for sources throughout the mass and distance ranges observable by LISA.
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