标题： 超辐射和质量标量场在爱因斯坦-麦克斯韦-稀释子-轴子理论中围绕克尔黑洞的准正则模态与完美流体暗物质 显示英文标题

标题： Superradiance and Quasinormal Modes of Massive Scalar Fields around Kerr Black Holes in Einstein-Maxwell-Dilaton-Axion Theory with Perfect Fluid Dark Matter

摘要： 我们研究了在爱因斯坦-麦克斯韦-稀释子-轴子（EMDA）理论中，大质量标量场在克尔黑洞周围的动态，结合了完美流体暗物质（PFDM）的影响，其特征是稀释子参数$r_2$和 PFDM 参数$\lambda$。这些参数修改了惯性系拖拽区和标量场所经历的有效势。使用渐近匹配方法，我们计算了超辐射放大因子，而拟正则模（QNM）频率则通过渐近迭代方法（AIM）获得。我们的结果揭示了相反的影响：增加$r_2$会增强超辐射并导致具有更大阻尼的更高 QNM 频率，而增加$\lambda$会抑制超辐射并减少具有较弱阻尼的 QNM 频率。在综合情况下，$\lambda$的影响被发现是主导的。这些发现扩展了对 EMDA 背景下克尔黑洞的理解，并突出了 PFDM 在此类系统中的稳定作用。 显示英文摘要

摘要： We investigate the dynamics of massive scalar fields around Kerr black holes in the Einstein-Maxwell-Dilaton-Axion (EMDA) theory, incorporating the effects of perfect fluid dark matter (PFDM), characterized by the dilaton parameter $r_2$ and the PFDM parameter $\lambda$. These parameters modify both the ergosphere and the effective potential experienced by the scalar field. Using the asymptotic matching method, we compute superradiant amplification factors, while quasinormal mode (QNM) frequencies are obtained via the asymptotic iteration method (AIM). Our results reveal contrasting effects: increasing $r_2$ enhances superradiance and leads to higher QNM frequencies with greater damping, whereas increasing $\lambda$ suppresses superradiance and reduces QNM frequencies with weaker damping. In combined scenarios, the influence of $\lambda$ is found to be dominant. These findings extend the understanding of Kerr black holes in EMDA backgrounds and highlight the stabilizing role of PFDM in such systems.