论文标题
镜像模式在二进制黑洞铃声波形中的重要性
Importance of mirror modes in binary black hole ringdown waveform
论文作者
论文摘要
二进制黑洞合并中的合并后信号用线性，黑孔扰动理论描述。从历史上看，这是使用主要的积极频率（旋转）基本模式对其进行建模的。最近，使用较高的积极频率泛音来对合并后波形进行建模，试图使用线性扰动理论在早期描述波形时实现更高的准确性。已经表明，较高的泛音的包含可以将线性状态转移到$（l，m）=（2,2）$球形谐波模式的峰值。在这项工作中，我们表明包含负频率（反射）模式（称为“镜像”模式）将线性扰动理论的有效性扩展到更早的时代，并且模型中的系统不确定性在这些早期时间恢复了残余参数。对早期信号的良好描述还可以使在响声阶段积累更大的信噪比，从而可以更准确地测量残余参数和一般相对性的测试。
The post-merger signal in binary black hole merger is described by linear, black-hole perturbation theory. Historically, this has been modeled using the dominant positive-frequency (corotating) fundamental mode. Recently, there has been a renewed effort in modeling the post-merger waveform using higher, positive-frequency overtones in an attempt to achieve greater accuracy in describing the waveform at earlier times using linear perturbation theory. It has been shown that the inclusion of higher overtones can shift the linear regime to the peak of $(l,m)=(2,2)$ spherical harmonic mode. In this work, we show that the inclusion of negative-frequency (counterrotating) modes, called 'mirror' modes, extends the validity of linear perturbation theory to even earlier times, with far lower systematic uncertainties in the model in recovering the remnant parameters at these early times. A good description of the signal at early times also enables for a greater signal-to-noise ratio to be accumulated in the ringdown phase, thereby, allowing for a more accurate measurement of remnant parameters and tests of general relativity.
