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arXiv 1004.4209gr-qc
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双黑洞合并中的引力记忆

Gravitational memory in binary black hole mergers

Denis Pollney, Christian Reisswig

摘要:

除了在双星吸气期间产生的主要振荡引力波信号之外,由发射的引力辐射产生的非振荡分量来自非线性“记忆”效应。在螺旋上升和合并的后期,记忆显著增长,通过几乎阶跃函数的轮廓来修改信号,并且使得难以通过近似方法来建模。我们利用双黑洞的数值演化来评估黑洞在螺旋晚期、合并和衰荡过程中的非线性记忆。我们确定两个主要组成部分的信号:单调增长的部分对应的内存,和振荡的一部分,其中设置在大致合并的时间,是由于黑洞振铃。与直觉相反的是,振铃对于具有最低总自旋的模型是最突出的。因此,最大自旋黑洞反对准轨道角动量的情况下,表现出最高的信号噪声(SNR)的干涉检测器。然而,最大的记忆偏移发生在高速旋转的黑洞中,在最大旋转的情况下,估计值为h^tot_20 \approx 0.24。这些结果是中央确定通过脉冲星定时阵列测量的非线性记忆的可探测性。

英文摘要:

In addition to the dominant oscillatory gravitational wave signals produced during binary inspirals, a non-oscillatory component arises from the nonlinear "memory" effect, sourced by the emitted gravitational radiation. The memory grows significantly during the late inspiral and merger, modifying the signal by an almost step-function profile, and making it difficult to model by approximate methods. We use numerical evolutions of binary black holes to evaluate the nonlinear memory during late-inspiral, merger and ringdown. We identify two main components of the signal: the monotonically growing portion corresponding to the memory, and an oscillatory part which sets in roughly at the time of merger and is due to the black hole ringdown. Counter-intuitively, the ringdown is most prominent for models with the lowest total spin. Thus, the case of maximally spinning black holes anti-aligned to the orbital angular momentum exhibits the highest signal-to-noise (SNR) for interferometric detectors. The largest memory offset, however, occurs for highly spinning black holes, with an estimated value of h^tot_20 \approx 0.24 in the maximally spinning case. These results are central to determining the detectability of nonlinear memory through pulsar timing array measurements.

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