More on Phase Transition and Renyi Entropy
Abstract
In this paper, we study the scalar field condensation around the hyperbolic black hole solutions in the Einstein and Gauss-Bonnet gravities. We investigate the Renyi entropy and inequalities governing on it under this phase transition. Our numerical computations show that for the positive values of the Gauss-Bonnet coupling and below a critical temperature one of these inequalities is violated. This puts more restrictions on the allowed values of the Gauss-Bonnet coupling.
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