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

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

2009-08-05

arxiv.org/abs/0908.0663v1

Int.J.Mod.Phys.D19:1107-1117,2010

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

11 pages, 2 figures

Scientific paper

10.1142/S0218271810017196

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.

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