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arXiv:0811.3068·v3·General Relativity and Quantum Cosmology

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

Zong-Kuan Guo🇯🇵 · Nobuyoshi Ohta🇯🇵 · Takashi Torii🇯🇵

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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.

Comments: 24 pages, 8 figures, PTPTeX, typos corrected

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