static, charged black holes, strings and rings with resonant, scalar -hair
arXiv:2207.13114 · doi:10.1007/JHEP10(2022)153
Abstract
A mechanism for circumventing the Mayo-Bekenstein no-hair theorem allows endowing four dimensional asymptotically flat, spherical, electro-vacuum black holes with a minimally coupled -gauged scalar field profile: -. The scalar field must be massive, self-interacting and obey a {\it resonance condition} at the threshold of (charged) superradiance. We establish generality for this mechanism by endowing three different types of static black objects with scalar hair, within a Einstein-Maxwell-gauged scalar field model: asymptotically flat black holes and black rings; and black strings which asymptote to a Kaluza-Klein vacuum. These -hairy black objects share many of the features of their counterparts. In particular, the scalar field is subject to a resonance condition and possesses a -ball type potential. For the static black ring, the charged scalar hair can balance it, yielding solutions that are singularity free on and outside the horizon.
30 pages, 8 figures
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