Abstract
We study asymptotically AdS topological black hole solutions with k =0 (plane symmetric) in the 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. Subject Index: 121, 122, 454
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