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.
arXiv comment27 pages, 12 figures. v2: published version
References in corpus (44)
- Holographic Derivation of Entanglement Entropy from AdS/CFT
- Black Hole Entropy is Noether Charge
- Topological entanglement entropy
- Some Properties of Noether Charge and a Proposal for Dynamical Black Hole Entropy
- Aspects of Holographic Entanglement Entropy
- Entanglement Spectrum as a Generalization of Entanglement Entropy: Identification of Topological Order in Non-Abelian Fractional Quantum Hall Effect States
- Towards a derivation of holographic entanglement entropy
- AdS/CFT Correspondence and Symmetry Breaking
- Holographic Superconductors
- Generalized gravitational entropy
- Building up spacetime with quantum entanglement
- Gauss-Bonnet Black Holes in AdS Spaces
- Holographic Entanglement Entropy: An Overview
- Conformal collider physics: Energy and charge correlations
- Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
- Topological Black Holes in Anti-de Sitter Space
- Asymptotically Anti-de Sitter Space-times: Conserved Quantities
- Black holes with unusual topology
- Form factors of branch-point twist fields in quantum integrable models and entanglement entropy
- Holographic GB gravity in arbitrary dimensions
- Thermodynamics of (3+1)-dimensional black holes with toroidal or higher genus horizons
- Pair Production of Topological anti de Sitter Black Holes
- Introduction to Holographic Superconductors
- Ground state entanglement and geometric entropy in the Kitaev's model
- Holographic Calculations of Renyi Entropy
- Making Anti-de Sitter Black Holes
- Entanglement Entropy from a Holographic Viewpoint
- Causality constraints in AdS/CFT from conformal collider physics and Gauss-Bonnet gravity
- AdS Bubbles, Entropy and Closed String Tachyons
- Holographic Charged Renyi Entropies
- Numerical study of entanglement entropy in SU(2) lattice gauge theory
- Thermodynamics of the Maxwell-Gauss-Bonnet anti-de Sitter Black Hole with Higher Derivative Gauge Corrections
- Quasinormal modes for massless topological black holes
- Dynamical entanglement entropy with angular momentum and U(1) charge
- Viscosity Bound, Causality Violation and Instability with Stringy Correction and Charge
- The entropy of a hole in spacetime
- A scalar field condensation instability of rotating anti-de Sitter black holes
- Holographic Phases of Renyi Entropies
- On Spacetime Entanglement
- AdS Membranes Wrapped on Surfaces of Arbitrary Genus
- A Holographic Proof of Rényi Entropic Inequalities
- Entanglement entropy in d+1 SU(N) gauge theory
- Entropy functionals and c-theorems from the second law
- Charged Rényi Entropies in CFTs with Einstein-Gauss-Bonnet Holographic Duals
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- AdS to dS phase transition mediated by thermalon in Einstein-Gauss-Bonnet gravity from Renyi statistics
- Higher order curvature corrections and holographic renormalization group flow
- On the Rényi entropy of Lifshitz and hyperscaling violating black holes