Abelian and non-Abelian mimetic black holes

TL;DR

This paper explores new black hole solutions within a mimetic extension of Einstein-Yang-Mills theory, revealing unique properties of Abelian and non-Abelian cases, including stealth solutions with electric and magnetic hair.

Contribution

It introduces novel stealth black hole solutions in mimetic gravity that can support non-Abelian hair with arbitrary magnetic parameters, unlike traditional solutions.

Findings

Abelian solutions include Schwarzschild and Reissner-Nordstrom black holes.

Non-Abelian stealth solutions can sustain both electric and magnetic hair.

Stealth SU(2) solutions admit arbitrary magnetic parameters, unlike conventional models.

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.