Charged isotropic non-Abelian dyonic black branes

Abstract

We construct black holes with a Ricci flat horizon in Einstein--Yang-Mills theory with a negative cosmological constant, which approach asymptotically an AdS${}_d$ spacetime background (with $d\ge 4$). These solutions are isotropic, $i.e.$ all space directions in a hypersurface of constant radial and time coordinates are equivalent, and possess both electric and magnetic fields. We find that the basic properties of the non-Abelian solutions are similar to those of the dyonic isotropic branes in Einstein-Maxwell theory (which, however, exist in even spacetime dimensions only). These black branes possess a nonzero magnetic field strength on the flat boundary metric, which leads to a divergent mass of these solutions, as defined in the usual way. However, a different picture is found for odd spacetime dimensions, where a non-Abelian Chern-Simons term can be incorporated in the action. This allows for black brane solutions with a magnetic field which vanishes asymptotically.

arXiv comment14 pages, 4 figures

References in corpus (23)

• The Large N Limit of Superconformal Field Theories and Supergravity
• A Stress Tensor for Anti-de Sitter Gravity
• The gravity dual of a p-wave superconductor
• Colorful horizons with charge in anti-de Sitter space
• Magnetic Brane Solutions in AdS
• Charged Magnetic Brane Solutions in AdS_5 and the fate of the third law of thermodynamics
• Existence of stable hairy black holes in su(2) Einstein-Yang-Mills theory with a negative cosmological constant
• On Holographic p-wave Superfluids with Back-reaction
• Monopoles, Dyons and Black Holes in the Four-Dimensional Einstein-Yang-Mills Theory
• Five-dimensional Black Hole and Particle Solution with Non-Abelian Gauge Field
• New hairy black holes with negative cosmological constant
• New AdS non Abelian black holes with superconducting horizons
• Robinson-Trautman spacetimes with an electromagnetic field in higher dimensions
• Classical Yang-Mills black hole hair in anti-de Sitter space
• No hair conjecture, nonabelian hierarchies and anti-de Sitter spacetime
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Lifshitz black holes in Einstein-Yang-Mills theory
• AdS_5 solutions in Einstein--Yang-Mills--Chern-Simons theory
• Asymptotically flat, stable black hole solutions in Einstein--Yang-Mills--Chern-Simons theory
• Einstein-Yang-Mills-Chern-Simons solutions in D=2n+1 dimensions
• Non-Abelian Black Holes in D=5 Maximal Gauged Supergravity
• An instability of the Reissner-Nordstrom solution and new hairy black holes in d=5 dimensions
• Electrically charged black branes in N=4^+, D=5 gauged supergravity