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Rotating black holes with non-Abelian hair

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arxiv 1609.07357 v1 pith:HIATJHRL submitted 2016-09-23 hep-th gr-qc

classification hep-thgr-qc
keywords blackholeshairhiggsrotatingcarrycasecharge
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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