Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity

Abstract

We investigate static non-abelian black hole solutions of anti-de Sitter Einstein-Yang-Mills-Dilaton gravity, which is obtained as a consistent truncation of five-dimensional maximal gauged supergravity. If the dilaton is (consistently) set to zero, the remaining equations of motion, with a spherically-symmetric ansatz, may be derived from a superpotential. The associated first-order equations admit an explicit solution supported by a non-abelian SU(2) gauge potential, which has a logarithmically growing mass term. In an extremal limit the horizon geometry becomes AdS${}_2\times S^3$. If the dilaton is also excited, the equations of motion cannot easily be solved explicitly, but we obtain the asymptotic form of the more general non-abelian black holes in this case. An alternative consistent truncation, in which the Yang-Mills fields are set to zero, also admits a description in terms of a superpotential. This allows us to construct explicit wormhole solutions (neutral spherically-symmetric domain walls). These solutions may be generalised to dimensions other than five.

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Cited by in corpus (9)

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• Thermodynamic Geometry and Topological Einstein-Yang-Mills Black Holes
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• Attractors, black objects, and holographic RG flows in 5d maximal gauged supergravities
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• Electrically charged black branes in N=4^+, D=5 gauged supergravity
• Charged isotropic non-Abelian dyonic black branes