# Charged reflecting shells supporting non-minimally coupled massless scalar field configurations

@article{Hod2020ChargedRS,
title={Charged reflecting shells supporting non-minimally coupled massless scalar field configurations},
author={S. Hod},
journal={The European Physical Journal C},
year={2020},
volume={80},
pages={1-5}
}
• S. Hod
• Published 2020
• Physics
• The European Physical Journal C
We study analytically the physical and mathematical properties of spatially regular massless scalar field configurations which are non-minimally coupled to the electromagnetic field of a spherically symmetric charged reflecting shell. In particular, the Klein–Gordon wave equation for the composed charged-reflecting-shell-nonminimally-coupled-linearized-massless-scalar-field system is solved analytically. Interestingly, we explicitly prove that the discrete resonance spectrum \{R_{\text {s}}(Q… Expand
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#### References

SHOWING 1-10 OF 49 REFERENCES
Spontaneous scalarization of charged Reissner-Nordström black holes: Analytic treatment along the existence line
Abstract It has recently been demonstrated that charged black holes can support spatially regular matter configurations made of massless scalar fields which are non-minimally coupled to theExpand
No hair for spherical black holes: Charged and nonminimally coupled scalar field with self-interaction.
• Physics, Medicine
• Physical review. D, Particles and fields
• 1996
We prove three theorems in general relativity which rule out classical scalar hair of static, spherically symmetric, possibly electrically charged black holes. We first generalize Bekenstein'sExpand
No nonminimally coupled massless scalar hair for spherically symmetric neutral reflecting stars
It has recently been proved that horizonless compact stars with reflecting boundary conditions {\it cannot} support spatially regular matter configurations made of minimally coupled scalar fields,Expand
Stability of highly-charged Reissner-Nordström black holes to charged scalar perturbations
The stability of Reissner-Nordstr\"om black holes under the influence of neutral perturbation fields was proved by Moncrief four decades ago. However, the superradiant scattering phenomenon, whichExpand
Scalarization of horizonless reflecting stars: Neutral scalar fields non-minimally coupled to Maxwell fields
Abstract We analyze condensation behaviors of neutral scalar fields outside horizonless reflecting stars in the Einstein-Maxwell-scalar gravity. It was known that minimally coupled neutral scalarExpand
Spontaneous scalarisation of charged black holes: coupling dependence and dynamical features
• Physics
• 2019
Spontaneous scalarisation of electrically charged, asymptotically flat Reissner-Nordstrom black holes (BHs) has been recently demonstrated to occur in Einstein-Maxwell-Scalar (EMS) models. EMS BHExpand
Analytical investigations on formations of hairy neutral reflecting shells in the scalar-Gauss–Bonnet gravity
We study scalarization of spherically symmetric neutral reflecting shells in the scalar-tensor gravity. We consider neutral static massless scalar fields non-minimally coupled to the Gauss–BonnetExpand
No hair for spherically symmetric neutral reflecting stars: Nonminimally coupled massive scalar fields
Abstract Recent no-hair theorems have revealed the intriguing fact that horizonless stars with compact reflecting surfaces cannot support non-linear matter configurations made of scalar, vector, andExpand
Spontaneous Scalarization of Charged Black Holes.
• Physics, Medicine
• Physical review letters
• 2018
Numerical simulations in spherical symmetry show, dynamically, that Reissner-Nordström (RN) BHs evolve into a perturbatively stable scalarized BH, and speculate on a possible dynamical role of these nonspherical scalarization BHS. Expand
No-bomb theorem for charged Reissner–Nordström black holes
Abstract The fundamental role played by black holes in many areas of physics makes it highly important to explore the nature of their stability. The stability of charged Reissner–Nordstrom blackExpand