AdS Black Hole with Phantom Scalar Field

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In this paper, we present an AdS black hole solution with Ricci flat horizon in Einstein-phantom scalar theory.

• The phantom scalar fields just depend on the transverse coordinates $x$ and $y$, and which are parameterized by the parameter $\alpha$.
• We study the thermodynamics of the AdS phantom black hole.
• Although its horizon is a Ricci flat Euclidean space, we find that the thermodynamical properties of the black hole solution are qualitatively same as those of AdS Schwarzschild black hole.