Rotating black holes with non-Abelian hair

Abstract

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. The inclusion of a dilaton allows for Smarr type mass formulae.

33 pages, 7 figures

References in corpus (8)

• A new spin on black hole hair
• Kerr-Newman black holes with scalar hair
• Spinning Gravitating Skyrmions
• Classical Yang-Mills black hole hair in anti-de Sitter space
• Spinning Electroweak Sphalerons
• Stationary Dyonic Regular and Black Hole Solutions
• Gravitating Monopole-Antimonopole Systems at Large Scalar Coupling
• Gravitating Sphaleron-Antisphaleron Systems

Cited by in corpus (6)

• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Finite-action solutions of Yang-Mills equations on de Sitter dS${}_4$ and anti-de Sitter AdS${}_4$ spaces
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Compact Objects in Alternative Gravities
• High precision numerical sequences of rotating hairy black holes
• Non-Abelian black holes in conformal gravity