Thermodynamics and holographic entanglement entropy for spherical black holes in 5D Gauss-Bonnet gravity

Abstract

The holographic entanglement entropy is studied numerically in (4+1)-dimensional spherically symmetric Gauss-Bonnet AdS black hole spacetime with compact boundary. On the bulk side the black hole spacetime undergoes a van der Waals-like phase transition in the extended phase space, which is reviewed with emphasis on the behavior on the temperature-entropy plane. On the boundary, we calculated the regularized HEE of a disk region of different sizes. We find strong numerical evidence for the failure of equal area law for isobaric curves on the temperature-HEE plane and for the correctness of first law of entanglement entropy, and briefly give an explanation for why the latter may serve as a reason for the former, i.e. the failure of equal area law on the temperature-HEE plane.

17 pages, 4 PDF figures. Update: journal version

References in corpus (14)

• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Multiple Reentrant Phase Transitions and Triple Points in Lovelock Thermodynamics
• $\mathcal{N}=1$ supersymmetric indices and the four-dimensional A-model
• Thermodynamical Property of Entanglement Entropy for Excited States
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• On Holographic Entanglement Entropy and Higher Curvature Gravity
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Isolated critical point from Lovelock gravity
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Van der Waals black hole
• Critical phenomena of static charged AdS black holes in conformal gravity
• Vacuum energy in Einstein-Gauss-Bonnet AdS gravity
• Holographic Van der Waals-like phase transition in the Gauss-Bonnet gravity
• The Extended Thermodynamic Properties of Taub-NUT/Bolt-AdS spaces

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• Black hole thermodynamics and heat engines in conformal gravity
• Hawking evaporation of Einstein-Gauss-Bonnet AdS black holes in $D⩾4$ dimensions
• Thermodynamics and Phase Transition of a Gauss-Bonnet Black Hole in a Cavity
• Thermal phase transitions of dimensionally continued AdS black holes
• Holographic entanglement density for spontaneous symmetry breaking
• Breakdown of the Equal Area Law for Holographic Entanglement Entropy
• Minimal surfaces in AdS C-metric
• Holographic entanglement thermodynamics for higher dimensional charged black hole
• An alternative perspective to observe the critical phenomena of dilaton AdS black holes
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• Holographic Entanglement Entropy and Van der Waals transitions in Einstein-Maxwell-dilaton theory
• Entanglement Wedge Cross Section with Gauss-Bonnet Corrections and Thermal Quench
• On the thermodynamic phase structure of conformal gravity
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• Anti-de-Sitter-Maxwell-Yang-Mills black holes thermodynamics from nonlocal observables point of view
• Entanglement growth during Van der Waals like phase transition
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• Ratio of critical quantities related to Hawking temperature-entanglement entropy criticality
• Gauss-Bonnet modification to Hawking evaporation of AdS black holes in massive gravity
• $f(R)$ Gravity Effects on Charged Accelerating AdS Black Holes using Holographic Tools