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arXiv · 0908.0663

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

M. H. Dehghani·N. Bostani·R. Pourhasan
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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.

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M. H. Dehghani, N. Bostani, R. Pourhasan. 2009-08-05. Topological Black Holes of Gauss-Bonnet-Yang-Mills Gravity. https://doi.org/10.1142/s0218271810017196

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