Higher dimensional Yang-Mills black holes in third order Lovelock gravity

By employing the higher (N > 5)-dimensional version of the Wu-Yang ansatz we obtain magnetically charged new black hole solutions in the Einstein-Yang-Mills-Lovelock (EYML) theory with second (alpha(2)) and third (alpha(3)) order parameters. These parameters, where alpha(2) is also known as the Gauss-Bonnet parameter, modify the horizons (and the resulting thermodynamical properties) of the black holes. It is shown also that asymptotically (r -> infinity), these parameters contribute to an effective cosmological constant-without cosmological constant-so that the solution behaves de-Sitter (anti de-Sitter) like. (C) 2008 Elsevier B.V. All rights reserved.