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

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arxiv 2504.01653 v2 pith:IDNO6VAK submitted 2025-04-02 gr-qc astro-ph.GAastro-ph.HE

Akshat Pathrikar , Parth Bambhaniya , Pankaj S. Joshi , Elisabete M. de Gouveia Dal Pino This is my paper · ORCID
classification gr-qcastro-ph.GAastro-ph.HE
keywords perturbationsjmn-1nakedquasinormalsingularitystabilityanalysisaxial
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In this paper, we perform a comprehensive analysis of the quasinormal modes in an external geometry of the Joshi-Malafarina-Narayan (JMN-1) naked singularity by investigating its response to linear perturbations, including gravitational and electromagnetic 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 background spacetime of JMN-1 naked singularity remains dynamically stable under axial perturbations.

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  1. Time Delay of Pulsar Signals in Astrophysical Black Hole Spacetimes

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    Pulsar time delays are computed for Kerr, deformed Kerr (Johannsen-Psaltis), and rotating Janis-Newman-Winicour spacetimes, producing model-dependent signatures of up to about 15 seconds.

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