Rotating black holes with non-Abelian hair

Understand

We here review asymptotically flat rotating black holes in the presence of non-Abelian gauge fields.

• Like their static counterparts these black holes are no longer uniquely determined by their global charges.
• In the case of pure SU(2) Yang-Mills fields, the rotation generically induces an electric charge, while the black holes do not carry a magnetic charge.
• When a Higgs field is coupled, rotating black holes with monopole hair arise in the case of a Higgs triplet, while in the presence of a complex Higgs doublet the black holes carry sphaleron hair.