Abstract
We reveal the existence of a new form of spontaneously scalarized black-hole configurations. In particular, it is proved that Reissner-Nordström black holes in the highly charged regime Q/M > (Q/M)crit = \( \sqrt{21}/5 \) can support thin matter shells that are made of massive scalar fields with a non-minimal coupling to the Gauss-Bonnet invariant of the curved spacetime. These static scalar shells, which become infinitesimally thin in the dimensionless large-mass Mμ » 1 regime, hover a finite proper distance above the black-hole horizon [here {M, Q} are respectively the mass and electric charge of the central supporting black hole, and μ is the proper mass of the supported scalar field]. In addition, we derive a remarkably compact analytical formula for the discrete resonance spectrum \( {\left\{\eta \left(Q/M, M\mu; n\right)\right\}}_{n=0}^{n=\infty } \) of the non-trivial coupling parameter which characterizes the bound-state charged-black-hole-thin-massive-scalar-shell cloudy configurations of the composed Einstein-Maxwell-scalar field theory.
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Hod, S. Infinitesimally thin static scalar shells surrounding charged Gauss-Bonnet black holes. J. High Energ. Phys. 2022, 39 (2022). https://doi.org/10.1007/JHEP02(2022)039
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DOI: https://doi.org/10.1007/JHEP02(2022)039