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

TL;DR

This paper investigates asymptotically AdS topological black hole solutions in Einstein-Gauss-Bonnet-dilaton gravity across multiple dimensions, deriving conditions for their existence and numerically constructing solutions in D=4,5,6,10.

Contribution

It provides a comprehensive analysis of topological black holes with zero curvature horizons in higher-dimensional Einstein-Gauss-Bonnet-dilaton theory, including existence conditions and numerical solutions.

Findings

Existence regions for solutions with specific dilaton couplings identified.

Numerical black hole solutions constructed in D=4,5,6,10 dimensions.

Solutions exhibit diverse properties depending on dimension and parameters.

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.