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Main Author: Hod, Shahar
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.10521
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author Hod, Shahar
author_facet Hod, Shahar
contents The physical and mathematical properties of the composed Reissner-Nordström-black-hole-massive-scalar-field system are studied {\it analytically} in the dimensionless large-mass $Mμ\gg1$ regime [here $\{M,μ\}$ are respectively the mass of the central black hole and the proper mass of the scalar field]. It is proved that, for a given value ${\bar Q}\equiv Q/M$ of the dimensionless charge parameter of the central black hole, the system is characterized by the presence of quasi-resonances, linearized perturbation modes with arbitrarily long lifetimes. In particular, using analytical techniques, we determine the black-hole-field critical mass spectrum $\{Mμ_{\text{crit}}({\bar Q})\}$ which characterizes the long-lived resonances of the composed physical system.
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spellingShingle Long-lived resonances of massive scalar fields in the Reissner-Nordström black-hole spacetime: Analytic treatment in the large-mass regime
Hod, Shahar
General Relativity and Quantum Cosmology
The physical and mathematical properties of the composed Reissner-Nordström-black-hole-massive-scalar-field system are studied {\it analytically} in the dimensionless large-mass $Mμ\gg1$ regime [here $\{M,μ\}$ are respectively the mass of the central black hole and the proper mass of the scalar field]. It is proved that, for a given value ${\bar Q}\equiv Q/M$ of the dimensionless charge parameter of the central black hole, the system is characterized by the presence of quasi-resonances, linearized perturbation modes with arbitrarily long lifetimes. In particular, using analytical techniques, we determine the black-hole-field critical mass spectrum $\{Mμ_{\text{crit}}({\bar Q})\}$ which characterizes the long-lived resonances of the composed physical system.
title Long-lived resonances of massive scalar fields in the Reissner-Nordström black-hole spacetime: Analytic treatment in the large-mass regime
topic General Relativity and Quantum Cosmology
url https://arxiv.org/abs/2511.10521