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

Abstract: 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.