https://doi.org/10.1140/epjc/s10052-023-11385-2
Regular Article - Theoretical Physics
Charged Gauss–Bonnet black holes supporting non-minimally coupled scalar clouds: analytic treatment in the near-critical regime
1
The Ruppin Academic Center, 40250, Emeq Hefer, Israel
2
The Hadassah Academic College, 91010, Jerusalem, Israel
Received:
18
February
2023
Accepted:
4
March
2023
Published online:
15
March
2023
Recent numerical studies have revealed the physically intriguing fact that charged black holes whose charge-to-mass ratios are larger than the critical value 
can support hairy matter configurations which are made of scalar fields with a non-minimal negative coupling to the Gauss–Bonnet invariant of the curved spacetime. Using analytical techniques, we explore the physical and mathematical properties of the composed charged-black-hole-nonminimally-coupled-linearized-massless-scalar-field configurations in the near-critical 
regime. In particular, we derive an analytical resonance formula that describes the charge-dependence of the dimensionless coupling parameter 
of the composed Einstein–Maxwell-nonminimally-coupled-scalar-field system along the existence-line of the theory, a critical border that separates bald Reissner–Nordström black holes from hairy charged-black-hole-scalar-field configurations. In addition, it is explicitly shown that the large-coupling 
analytical results derived in the present paper for the composed Einstein–Maxwell-scalar theory agree remarkably well with direct numerical computations of the corresponding black-hole-field resonance spectrum.
© The Author(s) 2023
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