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Dilatonic Hairy Black Hole with a Gauss-Bonnet Term

초록/요약 도움말

One can obtain a short-range Anti-de Sitter (AdS) Dilaton black hole solution that can circumvent no-hair theorems describing triviality of non-minimally coupled scalar fi eld with higher curvature squared term in a low energy eff ective string theorem so-called Gauss-Bonnet term. This solution is obtained by imposing a regular-horizon condition and the fact that fi eld is real. Also, we obtain analytic argument on regular horizon in case with and without a cosmological constant. We study numerical results of short-range AdS and asymptotic flat black hole solution in case of negative and zero cosmological constant respectively , and then apply the system to study thermodynamic properties using Euclidean method. We cannot obtain AdS asymptotic solution as flat case because constraint that we impose is not enough to ensure this solution behaviour, but our solution in this work suggests the existence of AdS black hole that allow us to study its thermodynamics.

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