Decoding mode-mixing in black-hole merger ringdown
Decoding mode-mixing in black-hole merger ringdown
复制标题
黑洞合并环中的解码模式混合
DOI：
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发表时间：
2012
期刊：
影响因子：
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通讯作者：
J. Baker
中科院分区：
文献类型：
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作者：
B. Kelly;J. Baker
从双黑洞合并引力波观测中提取最佳信息需要对波形有详细的了解。目前表示波形信息的方法是基于自旋加权球谐分解。高阶谐波模式携带的总功率输出的几个百分比接近合并可以提供关键的信息，以确定二进制的内在和外在参数。构建一个完整的多模合并波形模板的一个障碍是其中一些模的明显复杂的行为；一些|m|模式不是稳定在一个简单的振幅衰减的准正态频率，而是表现出模式混合的周期性颠簸特征。我们分析了这些模式中最强的模式——反常（3,2）谐波模式——在一组二元黑洞合并波形模拟中测量到，并表明它们的领先阶是由于用于三维数值相对论模拟中提取的球面谐波基与适合Kerr黑洞摄动理论的球面谐波之间的不匹配。此外，还考虑了由规范模糊和准正态衰荡模态的物理性质引起的模态混合的其他原因，并发现这些原因对于本文所研究的波形来说很小。pac数字:
Optimal extraction of information from gravitational-wave observations of binary black-hole coalescences requires detailed knowledge of the waveforms. Current approaches for representing waveform information are based on spin-weighted spherical harmonic decomposition. Higher-order harmonic modes carrying a few percent of the total power output near merger can supply information critical to determining intrinsic and extrinsic parameters of the binary. One obstacle to constructing a full multi-mode template of merger waveforms is the apparently complicated behavior of some of these modes; instead of settling down to a simple quasinormal frequency with decaying amplitude, some |m| � � modes show periodic bumps characteristic of mode-mixing. We analyze the strongest of these modes – the anomalous (3, 2) harmonic mode – measured in a set of binary black-hole merger waveform simulations, and show that to leading order, they are due to a mismatch between the spherical harmonic basis used for extraction in 3D numerical relativity simulations, and the spheroidal harmonics adapted to the perturbation theory of Kerr black holes. Other causes of mode-mixing arising from gauge ambiguities and physical properties of the quasinormal ringdown modes are also considered and found to be small for the waveforms studied here. PACS numbers: