Asymptotically flat, stable black hole solutions in Einstein--Yang-Mills--Chern-Simons theory

Abstract

We construct finite mass, asymptotically flat black hole solutions in d=5 Einstein--Yang-Mills--Chern-Simons theory. Our results indicate the existence of a second order phase transition between Reissner-Nordstrom solutions and the non-Abelian black holes which generically are thermodynamically preferred. Some of the non-Abelian configurations are also stable under linear, spherically symmetric perturbations. In addition a solution in closed form describing an extremal black hole with non-Abelian hair is found for a special value of the Chern-Simons coupling constant.

9 pages, 3 figures

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• Gravitational Chern-Simons Lagrangian terms and spherically symmetric spacetimes
• Static spherically symmetric Einstein-Yang-Mills-dilaton black hole and its thermodynamics
• Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions
• Static dilatonic black hole with nonlinear Maxwell and Yang-Mills fields of power-law type
• A non-Abelian Chern-Simons--Yang-Mills-Higgs system in 3+1 dimensions
• Static spherically symmetric black hole's solution in Einstein-Maxwell-Yang-Mills-dilaton theory
• An instability of the Reissner-Nordstrom solution and new hairy black holes in d=5 dimensions
• On the existence of topological dyons and dyonic black holes in anti-de Sitter Einstein-Yang-Mills theories with compact semisimple gauge groups
• Non-Abelian clouds around Reissner-Nordström black holes: the existence line
• Charged isotropic non-Abelian dyonic black branes