Spatially regular charged black holes supporting charged massive scalar clouds

Fuente: arXiv
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Autor principal: Hod, Shahar
Formato: Preprint
Publicado: 2024
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author Hod, Shahar
author_facet Hod, Shahar
contents We prove that, as opposed to the familiar charged Reissner-Nordström black-hole spacetime, the spatially regular charged Ayón-Beato-García (ABG) black-hole spacetime can support charged scalar clouds, spatially regular stationary matter configurations which are made of linearized charged massive scalar fields. Interestingly, we reveal the fact that the composed black-hole-field system is amenable to an analytical treatment in the regime $Q/M\ll1\ll Mμ$ of weakly charged black holes and large-mass fields, in which case it is proved that the dimensionless physical parameter $α\equiv{{qQ}\over{Mμ}}$ must lie in the narrow interval $α\in\big(\sqrt{{{3240}\over{6859}}},{{16}\over{23}}\big)$ [here $\{M,Q\}$ are the mass and electric charge of the central black hole and $\{μ,q\}$ are the proper mass and charge coupling constant of the supported scalar field]. In particular, we explicitly prove that, for weakly charged black holes, the discrete resonance spectrum $\{α(M,Q,μ,q;n\}^{n=\infty}_{n=0}$ of the composed charged-ABG-black-hole-charged-massive-scalar-field cloudy configurations can be determined {\it analytically} in the eikonal large-mass regime.
format Preprint
id arxiv_https___arxiv_org_abs_2401_07907
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Spatially regular charged black holes supporting charged massive scalar clouds
Hod, Shahar
General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
We prove that, as opposed to the familiar charged Reissner-Nordström black-hole spacetime, the spatially regular charged Ayón-Beato-García (ABG) black-hole spacetime can support charged scalar clouds, spatially regular stationary matter configurations which are made of linearized charged massive scalar fields. Interestingly, we reveal the fact that the composed black-hole-field system is amenable to an analytical treatment in the regime $Q/M\ll1\ll Mμ$ of weakly charged black holes and large-mass fields, in which case it is proved that the dimensionless physical parameter $α\equiv{{qQ}\over{Mμ}}$ must lie in the narrow interval $α\in\big(\sqrt{{{3240}\over{6859}}},{{16}\over{23}}\big)$ [here $\{M,Q\}$ are the mass and electric charge of the central black hole and $\{μ,q\}$ are the proper mass and charge coupling constant of the supported scalar field]. In particular, we explicitly prove that, for weakly charged black holes, the discrete resonance spectrum $\{α(M,Q,μ,q;n\}^{n=\infty}_{n=0}$ of the composed charged-ABG-black-hole-charged-massive-scalar-field cloudy configurations can be determined {\it analytically} in the eikonal large-mass regime.
title Spatially regular charged black holes supporting charged massive scalar clouds
topic General Relativity and Quantum Cosmology
High Energy Astrophysical Phenomena
High Energy Physics - Theory
url https://arxiv.org/abs/2401.07907