Topological Black Holes of Gauss-Bonnet-Yang-Mills Gravity
Aug, 2009
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Abstract: (arXiv)
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 . 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.- Black holes
- Gauss-Bonnet gravity
- nonlinear electromagnetic field
- gravitation: Lovelock
- Gauss-Bonnet term
- black hole: topological
- space-time: Schwarzschild
- causality
- dimension: 5
- singularity
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