New Black Hole Solutions with Axial Symmetry in Einstein-Yang-Mills Theory

Abstract

We construct new black hole solutions in Einstein-Yang-Mills theory. They are static, axially symmetric and asymptotically flat. They are characterized by their horizon radius and a pair of integers (k,n), where k is related to the polar angle and n to the azimuthal angle. The known spherically and axially symmetric EYM black holes have k=1. For k>1, pairs of new black hole solutions appear above a minimal value of n, that increases with k. Emerging from globally regular solutions, they form two branches, which merge and end at a maximal value of the horizon radius. The difference of their mass and their horizon mass equals the mass of the corresponding regular solution, as expected from the isolated horizon framework.

11 pages, 3 figures

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• Scalar hairy black holes and scalarons in the isolated horizons formalism
• Black strings in (4+1)-dimensional Einstein-Yang-Mills theory
• Static black holes with axial symmetry in asymptotically AdS${}_4$ spacetime
• Gravitating Sphaleron-Antisphaleron Systems
• Black holes with Skyrmion-anti-Skyrmion hairs
• Nonabelian solutions in a Melvin magnetic universe
• d=4+1 gravitating nonabelian solutions with bi-azimuthal symmetry