More on Phase Transition and Renyi Entropy

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.Comment: 27 pages, 12 figures. v2: published versio

Holographic complexity in general quadratic curvature theory of gravity

In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd's bound saturates for charged and neutral black hole solutions. We observe that a second singular point may modify the action growth rate to a value other than the Lloyd's bound. Moreover, we find the universal terms that appear in the divergent part of complexity from computing the bulk and joint terms on a regulated WDW patch.Comment: 19 pages, 4 figures; v3. Subsection 2.5 modified and more discussions on the second singularity in new subsection 2.6 added. Accepted for publication in EPJ

Holographic complexity in general quadratic curvature theory of gravity

In the context of CA conjecture for holographic complexity, we study the action growth rate at late time approximation for general quadratic curvature theory of gravity. We show how the Lloyd’s bound saturates for charged and neutral black hole solutions. We observe that a second singular point may modify the action growth rate to a value other than the Lloyd’s bound. Moreover, we find the universal terms that appear in the divergent part of complexity from computing the bulk and joint terms on a regulated WDW patch