Abelian and non-Abelian mimetic black holes
Abstract
We investigate black hole solutions in the mimetic extension of the Einstein-Yang-Mills system, in which the Yang-Mills term is constrained to be constant. In the Abelian U(1) case, we find a static spherically symmetric solution that includes the Schwarzschild and Reissner-Nordstrom black holes as special cases. Moreover, we identify a stealth Schwarzschild solution with an electric hair. We show that it is impossible to have magnetic hair in the U(1) gauge case, while, in contrast, the non-Abelian SU(2) stealth solutions can sustain both electric and magnetic hair. Unlike the conventional SU(2) Einstein-Yang-Mills black hole, which requires a unit magnetic parameter to exhibit nontrivial non-Abelian contributions, the stealth mimetic SU(2) solution admits genuinely non-Abelian configurations with arbitrary integer magnetic parameter.
Keywords
Cite
@article{arxiv.2511.22062,
title = {Abelian and non-Abelian mimetic black holes},
author = {Mohammad Ali Gorji and Susmita Jana and Pavel Petrov},
journal= {arXiv preprint arXiv:2511.22062},
year = {2025}
}
Comments
22 pages, 8 figures, comments are welcome