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arXiv 2111.13664gr-qcastro-ph.HE
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双黑洞演化时域试验中的模型系统学

Model systematics in time domain tests of binary black hole evolution

Shilpa Kastha, Collin D. Capano, Julian Westerweck, Miriam Cabero, Badri Krishnan, Alex B. Nielsen

摘要:

我们进行了几个不同阶段的二元黑洞动力学之间的一致性测试;的inspiral,合并,和振铃的引力波事件GW 150914和GW 170814。这些测试在时域中明确执行,不同相位之间没有任何频谱泄漏。我们计算了初始黑洞和最终黑洞的质量和自旋的后验分布。我们还计算了两个独立黑洞的初始面积和由描述残余黑洞的参数得到的最终面积。这有助于验证霍金的黑洞面积定理。我们使用不同的波形模型来量化系统的波形不确定性的面积增加规律与两个事件。我们发现,这些错误可能会导致夸大的信心与面积定理的确认。例如,我们发现$>99\%$协议与面积定理GW 150914,如果一个阻尼正弦波组成的一个单一的模式,在合并使用,以估计最终的面积。这是因为该模型高估了最终质量。包括主模式的泛音会降低$\sim94\%$的置信度;使用完全合并振铃模型会进一步降低$\sim 85-90\%$的置信度。我们发现,将面积的实测变化与面积的预期变化进行比较,可以得到一个更稳健的检验,因为它还可以捕捉到面积变化的过度估计。当将该测试应用于GW 150914和GW 170814时,我们发现与GR很好的一致性。

英文摘要:

We perform several consistency tests between different phases of binary black hole dynamics; the inspiral, the merger, and the ringdown on the gravitational wave events GW150914 and GW170814. These tests are performed explicitly in the time domain, without any spectral leakage between the different phases. We compute posterior distributions on the mass and spin of the initial black holes and the final black hole. We also compute the initial areas of the two individual black holes and the final area from the parameters describing the remnant black hole. This facilitates a test of Hawking's black hole area theorem. We use different waveform models to quantify systematic waveform uncertainties for the area increase law with the two events. We find that these errors may lead to overstating the confidence with which the area theorem is confirmed. For example, we find $>99\%$ agreement with the area theorem for GW150914 if a damped sinusoid consisting of a single-mode is used at merger to estimate the final area. This is because this model overestimates the final mass. Including an overtone of the dominant mode decreases the confidence to $\sim94\%$; using a full merger-ringdown model further decreases the confidence to $\sim 85-90\%$. We find that comparing the measured change in the area to the expected change in area yields a more robust test, as it also captures over estimates in the change of area. We find good agreement with GR when applying this test to GW150914 and GW170814.

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