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

Aug, 2009
11 pages
Published in:
  • Int.J.Mod.Phys.D 19 (2010) 1107-1117
e-Print:

Citations per year

200920132017202120242103
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 So(n(n1)/21,1)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.
  • Black holes
  • Gauss-Bonnet gravity
  • nonlinear electromagnetic field
  • gravitation: Lovelock
  • Gauss-Bonnet term
  • black hole: topological
  • space-time: Schwarzschild
  • causality
  • dimension: 5
  • singularity