标题： 标量准正态模式，李雅普诺夫指数和旋转规则黑洞的null测地线半径 显示英文标题

标题： Scalar quasinormal modes, Lyapunov exponents and radii of null geodesics of rotating regular black holes

摘要： 研究了转动的Bardeen和Hayward规则黑洞中无质量标量场的准正模。计算了基次准正模和$n=1$第一过调和准正模，采用了两种数值方法，即WKB方法和矩阵方法。还讨论了模型参数对准正模的影响。结果发现，由于偏离参数$g$，转动的Hayward黑洞中的准正模与Kerr黑洞的情况相比只有百分级的增长，而由于$g_*$，转动的Bardeen黑洞中的准正模有百分之十级的增长。还发现，转动的Bardeen黑洞中基次和$n=1$准正模的单调性不同。还计算了这两种转动黑洞赤道零圆测地线的共转和反共转李雅普诺夫指数。然后，明确验证了首过调和射线近似准正模的虚部和实部与两种转动规则黑洞中零测地线性质之间的联系。 显示英文摘要

摘要： The quasinormal modes of massless scalar field in rotating Bardeen and Hayward regular black holes are studied. The fundamental quasinormal modes and $n=1$ first overtone quasinormal modes are calculated with two numerical methods, i.e. WKB method and matrix method. Impacts of model parameters on the quasinormal modes are also discussed. It is found that the quasinormal modes in rotating Hayward black hole have just percent-level increase compared with that in the Kerr black hole case due to the deviation parameter $g$, while there is ten-percent-level increase for the quasinormal modes in the rotating Bardeen black hole due to $g_*$. It is also found that the monotonicity of fundamental and $n=1$ quasinormal modes in the rotating Bardeen black hole is different. The corotating and counterrotating Lyapunov exponents of the equatorial null circular geodesics in the two rotating black holes are also calculated. Then, the connection between the imaginary parts and real parts of the eikonal quasinormal modes, particularly the first overtone ones, and the properties of the null geodesics in the two rotating regular black holes are explicitly verified.