标题： 引力电磁扰动和常规黑洞的QNMs 显示英文标题

标题： Gravito-Electromagnetic Perturbations and QNMs of Regular Black Holes

摘要： 在爱因斯坦引力与非线性电磁场耦合的框架下，我们研究了磁性正则黑洞的重力-电磁扰动。 通过Chandrasekhar的方法得到了扰动的主方程，在此过程中，奇宇称的引力扰动与偶宇称的电磁扰动相耦合。 作为应用，我们利用主方程通过数值方法获得了三种类型正则黑洞的准正常模（QNMs）。 结果表明，正则黑洞的QNMs显著依赖于理论参数和黑洞的磁荷，并且与Reissner-Nordström黑洞的QNMs有很大不同。 详细讨论了这些结果对这些正则黑洞稳定性的指示。 显示英文摘要

摘要： In the framework of Einstein's gravity coupled to nonlinear electromagnetic fields, we study gravito-electromagnetic perturbations of magnetic regular black holes. The master equations of perturbations are obtained through Chandrasekhar's procedure, in which gravitational perturbations with odd-parity are coupled to the electromagnetic perturbations with even-parity. As an application, we apply the master equations to obtain quasinormal modes (QNMs) for three types of regular black holes by using numerical method. Results show that QNMs of regular black holes depends significantly on the parameters of the theory and the magnetic charge of the black holes and are very different from that of the Reissner-Nordstr\"om black hole. Indications of these results on the stability of these regular black holes are discussed in detail.