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Main Authors: Gorji, Mohammad Ali, Jana, Susmita, Petrov, Pavel
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2511.22062
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author Gorji, Mohammad Ali
Jana, Susmita
Petrov, Pavel
author_facet Gorji, Mohammad Ali
Jana, Susmita
Petrov, Pavel
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2511_22062
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Abelian and non-Abelian mimetic black holes
Gorji, Mohammad Ali
Jana, Susmita
Petrov, Pavel
General Relativity and Quantum Cosmology
High Energy Physics - Theory
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.
title Abelian and non-Abelian mimetic black holes
topic General Relativity and Quantum Cosmology
High Energy Physics - Theory
url https://arxiv.org/abs/2511.22062