Black Holes in the Dilatonic Einstein-Gauss-Bonnet Theory in Various Dimensions. II Asymptotically AdS Topological Black Holes

We study asymptotically AdS topological black hole solutions with k = 0 (plane symmetric) in die Einstein gravity with Gauss-Bonnet term, the dilaton and a cosmological constant in various dimensions. We derive the field equations for suitable ansatz for general D dimensions. We determine the parameter regions including dilaton couplings where such solutions exist and construct black hole solutions of various masses numerically in D = 4, 5, 6 and 10 dimensional spacetime with (D - 2)-dimensional hypersurface of zero curvature.