Analysis reveals differences between electrically charged black holes and their dyonic counterparts, suggesting new insights into black hole structure.
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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Brihaye et al. (2025) studied this question.
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