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

Fuente: arXiv
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Autores principales: Pathrikar, Akshat, Bambhaniya, Parth, Joshi, Pankaj S., Pino, Elisabete M. de Gouveia Dal
Formato: Preprint
Publicado: 2025
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author Pathrikar, Akshat
Bambhaniya, Parth
Joshi, Pankaj S.
Pino, Elisabete M. de Gouveia Dal
author_facet Pathrikar, Akshat
Bambhaniya, Parth
Joshi, Pankaj S.
Pino, Elisabete M. de Gouveia Dal
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2504_01653
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Quasinormal Modes and Stability Analysis of the JMN-1 Naked Singularity
Pathrikar, Akshat
Bambhaniya, Parth
Joshi, Pankaj S.
Pino, Elisabete M. de Gouveia Dal
General Relativity and Quantum Cosmology
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
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.
title Quasinormal Modes and Stability Analysis of the JMN-1 Naked Singularity
topic General Relativity and Quantum Cosmology
Astrophysics of Galaxies
High Energy Astrophysical Phenomena
url https://arxiv.org/abs/2504.01653