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arXiv · 2406.10643

Reissner-Nordstr\"om dyonic black holes with gauged scalar hair

Abstract

For gauged scalar fields minimally coupled to Einstein-Maxwell theory, the Mayo-Bekenstein no-hair theorem can be circumvented when including appropriate scalar self-interactions, allowing static, electrically charged black holes to be endowed with (Abelian) gauged scalar hair. Here we show these spherically symmetric solutions can be extended to include a magnetic charge in a model with scalar multiplets. The resulting dyonic configurations share most of the properties of the electrically charged solutions, in particular satisfying the same {\it resonance} condition, with the existence of a mass gap with respect to the bald Reissner-Nordstr\"om dyonic black holes. A distinctive feature, however, is that no solitonic limit exists for a non-zero magnetic charge.

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Carlos Herdeiro, Eugen Radu, Yakov Shnir. 2024-06-15. Reissner-Nordstr\"om dyonic black holes with gauged scalar hair. https://arxiv.org/abs/2406.10643

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