论文标题
4D Einstein-Gauss-Bonnet黑洞的扰动和非扰动的准模式
Perturbative and nonperturbative quasinormal modes of 4D Einstein-Gauss-Bonnet black holes
论文作者
论文摘要
我们研究了具有抗DE保姆（ADS）渐近性的4D Einstein-Gauss-Bonnet黑洞的探针标量场的传播，并计算了准模式。主要是，我们表明准频谱由两个不同的分支组成，在高斯 - 骨网耦合常数$α$中的分支扰动和另一个分支在$α$中。扰动分支由复杂的准频率组成，这些频率近似于Schwarzschild Ads Black Hole在无偶联常数的极限中。另一方面，非扰动分支由纯粹的假想频率组成，其特征是当$α$降低时，假想部分的生长，在零偶联常数的极限上有所不同，因此Schwarzschschild Ads Blacks Blacks Black Hols不存在它们。同样，我们发现准频率的假想部分对于两个分支来说总是负面的。因此，在此背景下，标量场的传播稳定。
We study the propagation of probe scalar fields in the background of 4D Einstein-Gauss-Bonnet black holes with anti-de Sitter (AdS) asymptotics and calculate the quasinormal modes. Mainly, we show that the quasinormal spectrum consists of two different branches, a branch perturbative in the Gauss-Bonnet coupling constant $α$ and another branch nonperturbative in $α$. The perturbative branch consists of complex quasinormal frequencies that approximate to the quasinormal frequencies of the Schwarzschild AdS black hole in the limit of a null coupling constant. On the other hand, the nonperturbative branch consists of purely imaginary frequencies and is characterized by the growth of the imaginary part when $α$ decreases, diverging in the limit of null coupling constant, therefore they do not exist for the Schwarzschild AdS black hole. Also, we find that the imaginary part of the quasinormal frequencies is always negative for both branches; therefore, the propagation of scalar fields is stable in this background.
