论文标题
标量黑洞的标量场扰动的对象图片在标量-Einstein-Gauss-Bonnet理论中
Object picture of scalar field perturbation on Kerr black hole in scalar-Einstein-Gauss-Bonnet theory
论文作者
论文摘要
在时域中研究了标量 - 因斯坦 - 加斯 - 邦纳特（SEGB）理论中Kerr黑洞周围的标量扰动。为了克服通常在传统数值计算中遇到的“外边界问题”，我们应用倍曲面紧凑技术来执行$（2+1）$ - 尺寸模拟，旨在获得标量扰动下波浪传播的精确对象图片。我们发现，标量场和高斯式曲率之间的足够大耦合常数负责摧毁原始的Kerr黑洞。凯尔时空的崩溃发生了早期，当耦合变得更强时，不稳定就变得更加暴力。我们进一步介绍了对存在最小旋转的负联轴器的特殊情况的对象确认，无论耦合多么强大，都不会发生不稳定。我们还说明了一旦耦合，我们就会说明准环频频率中的精细结构特性，并呈现SEGB理论的特征烙印。我们希望可以在未来的重力波观察中检测到这种精细的结构，以测试SEGB理论。
Scalar perturbations around the Kerr black hole in scalar-Einstein-Gauss-Bonnet (sEGB) theory are studied in the time domain. To overcome the "outer boundary problem" that usually encountered in traditional numerical calculations, we apply the hyperboloidal compactification technique to perform a $(2+1)$-dimensional simulation aiming to obtain a precise object picture of the wave propagation under the scalar field perturbation. We find that the big enough coupling constant between the scalar field and the Gauss-Bonnet curvature is responsible to destroy the original Kerr black hole. The breakdown of the Kerr spacetime happens earlier and the instability becomes more violent when the coupling becomes stronger. We further present object confirmations on the special case for the negative coupling where there exists a minimum rotation and below which the instability can never happen no matter how strong the coupling is. We also illustrate the fine structure property in the quasinormal ringing frequency once there is the coupling, and present the characteristic imprint of the sEGB theory. We expect that such a fine structure can be detected in the future gravitational wave observation to test the sEGB theory.
