[Dehghani, M. H.
; Pourhasan, R.] Shiraz Univ, Coll Sci, Dept Phys, Shiraz 71454, Iran
; [Dehghani, M. H.
; Pourhasan, R.] Shiraz Univ, Coll Sci, Biruni Observ, Shiraz 71454, Iran
; [Dehghani, M. H.] RIAAM, Maragha, Iran
; [Bostani, N.] Chinese Acad Sci, Inst High Energy Phys, Key Lab Particle Astrophys, Beijing 100049, Peoples R China
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 six 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 space-time. The solutions in five 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.