Topological Black Holes of Gauss-Bonnet-Yang-Mills Gravity

Abstract

We present the asymptotically AdS solutions of Gauss-Bonnet gravity with hyperbolic horizon in the presence of a non-Abelian Yang-Mills field with the gauge semisimple group $So(n(n-1)/2-1,1)$. We investigate the properties of these solutions and find that the non-negative mass solutions in 6 and higher dimensions are real everywhere with spacelike singularities. They present black holes with one horizon and have the same causal structure as the Schwarzschild spacetime. The solutions in 5 dimensions or the solutions in higher dimensions with negative mass are not real everywhere. In these cases, one needs a transformation to make the solutions real. These solutions may present a naked singularity, an extreme black hole, a black hole with two horizons, or a black hole with one horizon.

11 pages, 2 figures

References in corpus (6)

• Lovelock black holes with a power-Yang-Mills source
• 5D-Black Hole Solution in Einstein-Yang-Mills-Gauss-Bonnet Theory
• Black Hole solutions in Einstein-Maxwell-Yang-Mills-Gauss-Bonnet Theory
• Nonabelian solutions in AdS_4 and d=11 supergravity
• Topological Black Holes of (n+1)-dimensional Einstein-Yang-Mills Gravity
• On the existence of soliton and hairy black hole solutions of su(N) Einstein-Yang-Mills theory with a negative cosmological constant

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