More on Phase Transition and Renyi Entropy
arXiv:1811.04980 · doi:10.1140/epjc/s10052-019-6927-9
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.
27 pages, 12 figures. v2: published version