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arXiv 2008.09957gr-qc
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旋进BBH系统面内自旋方向效应的研究

Investigating the effect of in-plane spin directions for Precessing BBH systems

Chinmay Kalaghatgi, Mark Hannam

摘要:

聚结BBH波形的形态受其自旋的影响。为推断源参数而建立的波形模型具有若干内置近似。在当前的进动IMRPhenom和SEOBNR波形模型中,具有相同自旋幅度但投影在轨道平面上的自旋的不同取向的系统被有效地映射到相同的系统(除了整体相位变化),并且由于$+m$和$-m$模式之间的进动而导致的不对称性没有被建模。在这项研究中,我们调查这些近似的有效性,通过生成具有不同的面内自旋方向(包括几个超级反冲配置)的单自旋NR系统的数值相对论(NR)模拟,并提供一个估计的SNR,在该SNR下,不同的面内自旋方向的影响将是可测量的。这通过计算这些波形之间的匹配并使用这些匹配值来估计可重构性SNR来完成。我们还使用具有不同自旋幅度的NR波形来比较自旋幅度与面内自旋方向的可测量性。我们发现,面内自旋方向可以在当前一代探测器可访问的SNR处测量,其中变化的面内自旋的可测量性SNR与变化的面内自旋幅度相当或更低。然后,我们从波形中去除模式不对称内容,并发现,i)去除模式不对称增加了可以测量面内自旋方向的SNR,以及ii)不对模式不对称进行建模将导致测量偏差。我们看到的SNR,在该平面内自旋将是可测量的,在该模式不对称的内容影响的测量是的SNR,在该进动将是可测量的,因此,我们得出结论,建模平面内自旋方向和模式不对称的影响是必要的无偏测量的进动。

英文摘要:

Morphology of coalescing BBH waveforms are affected by its spins. Waveform models built for inference of source parameters have several in-built approximations. In current precessing IMRPhenom and SEOBNR waveform models, systems with the same spin magnitude but varying orientation of spins projected on the orbital plane are effectively mapped to the same system (bar an overall phase change) and the asymmetry due to precession between the $+m$ and $-m$ modes is not modelled. In this study, we investigate the validity of these approximations by generating numerical relativity (NR) simulations of single-spin NR systems with varying in-plane spin directions (including several superkick configurations) and provide an estimate of the SNR at which the effect of varying in-plane spin directions would be measurable. This is done computing the match between these waveforms and using these match values to estimate the distinguishability SNR. We also use NR waveforms with different spin magnitudes to compare the measurability of spin magnitude vs. in-plane spin direction. We find that the in-plane spin direction could be measurable at SNRs accessible by current generation detectors, with the distinguishability SNR of varying in-plane spins comparable to or lower than varying the in-plane spin magnitude. We then remove the mode-asymmetry content from the waveforms and find that, i) removing mode-asymmetry increases the SNR at which in-plane spin direction can be measured and ii) not modelling mode-asymmetry will lead to measurement biases. The SNRs that we see at which the in-plane spins would be measurable and at which mode-asymmetric content impacts the measurements are the SNRs at which precession would be measurable, and we therefore conclude that modelling in-plane spin direction and mode-asymmetry effects is necessary for unbiassed measurements of precession.

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