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Hairy charged black holes in a model with bounded scalar field potential

Yves Brihaye1, Betti Hartmann2, and Katherine Horton2

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Phys. Rev. D 112, 044044 – Published 25 August, 2025

DOI: https://doi.org/10.1103/5pb9-ghn6

Abstract

Electrically and magnetically charged (a.k.a. dyonic) black holes with scalar hair have recently been constructed for a sextic scalar field potential. Here, we reinvestigate this model, but with a bounded scalar field potential of exponential form. We demonstrate that qualitative differences appear. First, we present scalar clouds on (dyonic) Reissner-Nordström black holes as well as (dyonically) charged clouds on Schwarzschild black holes, respectively. We then extend our results to the fully backreacted case and put the focus on the comparison of the electrically charged black holes with their dyonic counterparts.

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Phys. Rev. D 112, 044044– Published 25 August, 2025
  • Received 28 April 2025
  • Accepted 27 July 2025
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