论文标题
一般相对论中黑洞的准正常模式频率的分析估计值
Analytic estimates of quasi-normal mode frequencies for black holes in General Relativity and beyond
论文作者
论文摘要
在本章中，我们回顾了艾科纳尔技术，以分析得出黑洞的近似准正常模式频率。我们首先回顾了一般相对论的程序，并将其扩展到超出一般相对性的理论。作为后者的一个例子，我们专注于标量高斯重力重力，其中标量场可以在动作中以任意的方式将其与高斯 - 骨网不变。在这一理论中，度量和标量扰动在极地部门耦合，迫使等光谱破裂并使艾科尼尔计算更加复杂。我们表明，分析估计值可以准确捕获准正常模式频率的数值行为，尤其是当理论的耦合常数很小时。
In this chapter, we review the eikonal technique to analytically derive approximate quasi-normal mode frequencies of black holes. We first review the procedure in General Relativity and extend it to theories beyond General Relativity. As an example of the latter, we focus on scalar Gauss-Bonnet gravity in which a scalar field can couple to the Gauss-Bonnet invariant in an arbitrary way in the action. In this theory, metric and scalar perturbations are coupled in the polar sector, forcing the isospectrality to break and making the eikonal calculation more complex. We show that the analytic estimates can accurately capture the numerical behavior of the quasi-normal mode frequencies, especially when the coupling constant of the theory is small.
