论文标题
重力电磁耦合的扰动和带电量头的带电黑洞的准模式
Gravitoelectromagnetic coupled perturbations and quasinormal modes of a charged black hole with scalar hair
论文作者
论文摘要
从量子的角度来看，不应该存在奇点。最近，Bah和Heidmann构建了五维奇异性拓扑星/黑洞[Phys。莱特牧师。 126，151101（2021）]。通过整合额外的尺寸，可以获得具有磁性电荷和标量头发的四维静态球形黑洞。在本文中，我们研究了带有标量头发的四维带电的黑洞的背景上磁场和重力场的准模式（QNM）。引力扰动的奇数奇偶校验与磁场扰动的平均值。获得了两个耦合的二阶衍生方程。使用矩阵值直接集成方法，我们以数值获得基本QNM频率。研究了磁电荷对QNM的影响。带标量头发的带电的黑洞和reissner-norström黑洞的基本QNM频率的差异非常小，对于角数$ l = 2 $。但是，对于较高的角数，发现了一些新的有趣结果。
From the quantum point of view, singularity should not exist. Recently, Bah and Heidmann constructed a five-dimensional singularity free topology star/black hole [Phys. Rev. Lett. 126, 151101 (2021)]. By integrating the extra dimension, a four-dimensional static spherical black hole with a magnetic charge and scalar hair can be obtained. In this paper, we study the quasinormal modes (QNMs) of the magnetic field and gravitational field on the background of this four-dimensional charged black hole with scalar hair. The odd parity of the gravitational perturbations couples with the even parity of the magnetic field perturbations. Two coupled second-order derivative equations are obtained. Using the matrix-valued direct integration method, we obtain the fundamental QNM frequencies numerically. The effect of the magnetic charge on the QNMs is studied. The differences of the frequencies of the fundamental QNMs between the charged black hole with scalar hair and the Reissner-Norström black hole are very small for the angular number $l=2$. However, some new interesting results are found for higher angular number.
