Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study
Can gravitational-wave memory help constrain binary black-hole parameters? A LISA case study
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DOI：
10.1103/physrevd.107.124033
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发表时间：
2023-01
影响因子：
5
通讯作者：
S. Gasparotto;R. Vicente;D. Blas;A. Jenkins;E. Barausse
中科院分区：
文献类型：
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作者：
S. Gasparotto;R. Vicente;D. Blas;A. Jenkins;E. Barausse
除了瞬变效应，引力波的通过还通过非线性记忆效应在干涉仪的测试质量的相对位置上引起持久的位移。这种效应是由波本身的引力反向反应产生的，并编码了关于震源的额外信息。在这项工作中，我们探索了利用这些信息对LISA大质量双星黑洞参数估计的影响。基于对非进动黑洞双星的Fisher分析，我们的结果表明，记忆有助于减小合并前短时间(几个小时)观测到的双星的光度距离和倾角之间的简并。为了评估将探测到多少这样的短信号，我们使用了对大质量黑洞双星数量的最新预测，以及对LISA数据中预期的缺口的模型。我们预测在4年内有几十到几百个具有可观测记忆的双星，但只有~$\sim\数学{O}(0.1)$事件的记忆有助于减少距离和倾角之间的简并。在此基础上，我们得出结论，来自非线性记忆的新信息虽然有望在强场条件下检验广义相对论，但对于进一步限制LISA对大质量黑洞二元参数的不确定性的影响可能是有限的。
Besides the transient effect, the passage of a gravitational wave also causes a persistent displacement in the relative position of an interferometer's test masses through the \emph{nonlinear memory effect}. This effect is generated by the gravitational backreaction of the waves themselves, and encodes additional information about the source. In this work, we explore the implications of using this information for the parameter estimation of massive binary black holes with LISA. Based on a Fisher analysis for nonprecessing black hole binaries, our results show that the memory can help to reduce the degeneracy between the luminosity distance and the inclination for binaries observed only for a short time ($\sim$~few hours) before merger. To assess how many such short signals will be detected, we utilized state-of-the-art predictions for the population of massive black hole binaries and models for the gaps expected in the LISA data. We forecast from tens to few hundreds of binaries with observable memory, but only~$\sim \mathcal{O}(0.1)$ events in 4 years for which the memory helps to reduce the degeneracy between distance and inclination. Based on this, we conclude that the new information from the nonlinear memory, while promising for testing general relativity in the strong field regime, has probably a limited impact on further constraining the uncertainty on massive black hole binary parameters with LISA.