标题： JMN-1裸奇点的准正模与稳定性分析 显示英文标题

标题： Quasinormal Modes and Stability Analysis of the JMN-1 Naked Singularity

摘要： 本文中，我们通过研究Joshi-Malafarina-Narayan (JMN-1)裸奇点对线性扰动的响应，对其准正模进行了全面分析，包括标量、电磁和引力扰动。 为了分析JMN-1裸奇点在轴向扰动下的稳定性，我们使用 Wentzel-Kramers-Brillouin 方法计算了准正模频率。 准正模频率提供了关于时空稳定性的信息，频率的实部决定了振荡速率，虚部控制着扰动的衰减或增长。 我们的结果显示，通过施加适当的边界条件，发现JMN-1时空在轴向扰动下仍然保持动力学稳定性。 显示英文摘要

摘要： In this paper, we perform a comprehensive analysis of the quasinormal modes in the Joshi-Malafarina-Narayan (JMN-1) naked singularity by investigating its response to linear perturbations, including scalar, electromagnetic, and gravitational perturbations. To analyze the stability of the JMN-1 naked singularity under axial perturbations, we compute the quasinormal mode frequencies using the Wentzel-Kramers-Brillouin method. The quasinormal mode frequencies provides information about the stability of spacetime, with the real part of the frequency determining the oscillation rate and the imaginary part governing the decay or growth of perturbations. Our results indicate that by imposing appropriate boundary conditions, we find that the JMN-1 spacetime remains dynamically stable under axial perturbations.