The Hawking-Page phase transitions in the extended phase space in the Gauss-Bonnet gravity

Abstract

In this paper, the Hawking-Page phase transitions between the black holes and thermal anti-de Sitter (AdS) space are studied with the Gauss-Bonnet term in the extended phase space, in which the varying cosmological constant plays the role of an effective thermodynamic pressure. The Gauss-Bonnet term exhibits its effects via introducing the corrections to the black hole entropy and Gibbs free energy. The global phase structures, especially the phase transition temperature $T_{\mathrm{HP}}$ and the Gibbs free energy $G$, are systematically investigated, first for the Schwarzschild-AdS black holes and then for the charged and rotating AdS black holes in the grand canonical ensembles, with both analytical and numerical methods. It is found that there are terminal points in the coexistence lines, and $T_{\mathrm{HP}}$ decreases at large electric potentials and angular velocities and also decreases with the Gauss-Bonnet coupling constant $\alpha$.

arXiv comment13 pages, 13 figures

References in corpus (62)

• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• Gauss-Bonnet Black Holes in AdS Spaces
• Black hole chemistry: thermodynamics with Lambda
• Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories
• Holography, Thermodynamics and Fluctuations of Charged AdS Black Holes
• Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization
• Gauss-Bonnet dark energy
• Black Hole Enthalpy and an Entropy Inequality for the Thermodynamic Volume
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• New Gauss-Bonnet black holes with curvature induced scalarization in the extended scalar-tensor theories
• Black Hole Thermodynamics and Negative Entropy in deSitter and Anti-deSitter Einstein-Gauss-Bonnet gravity
• Evasion of No-Hair Theorems and Novel Black-Hole Solutions in Gauss-Bonnet Theories
• Reentrant Phase Transitions in Rotating AdS Black Holes
• P-V criticality in the extended phase space of Gauss-Bonnet black holes in AdS space
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Wormholes in Dilatonic Einstein-Gauss-Bonnet Theory
• The Cosmology of Modified Gauss-Bonnet Gravity
• Rotating Black Holes in Dilatonic Einstein-Gauss-Bonnet Theory
• Thermodynamic Volumes and Isoperimetric Inequalities for de Sitter Black Holes
• A Holographic Prediction of the Deconfinement Temperature
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Smarr Formula and an Extended First Law for Lovelock Gravity
• P-V criticality in the extended phase space of black holes in massive gravity
• Cosmology and Astrophysical Constraints of Gauss-Bonnet Dark Energy
• Critical behavior of Born-Infeld AdS black holes in the extended phase space thermodynamics
• Superfluid Black Holes
• Gauss-Bonnet Quintessence: Background Evolution, Large Scale Structure and Cosmological Constraints
• On the critical phenomena and thermodynamics of charged topological dilaton AdS black holes
• Extended phase space thermodynamics for third order Lovelock black holes in diverse dimensions
• Holographic entanglement entropy and the extended phase structure of STU black holes
• P-V Criticality in Quasitopological Gravity
• Critical behavior of charged Gauss-Bonnet AdS black holes in the grand canonical ensemble
• Inflation in Gauss-Bonnet Brane Cosmology
• On Gauss-Bonnet black hole entropy
• Van der Waals black hole
• Super-Entropic Black Holes
• Charged Black Hole Solutions in Gauss-Bonnet-Massive Gravity
• Gauss-Bonnet coupling constant as a free thermodynamical variable and the associated criticality
• $P-V$ criticality of AdS black hole in $f(R)$ gravity
• Bardeen black hole chemistry
• Ricci Flat Black Holes and Hawking-Page Phase Transition in Gauss-Bonnet Gravity and Dilaton Gravity
• Relaxation in Conformal Field Theory, Hawking-Page Transition, and Quasinormal/Normal Modes
• Holographic heat engines: general considerations and rotating black holes
• Thermodynamics, stability and Hawking-Page transition of Kerr black holes from Rényi statistics
• Eikonal instability of Gauss-Bonnet-(anti-)de Sitter black holes
• Hawking-Page transition in holographic massive gravity
• Hawking-Page phase transition in BTZ black hole revisited
• Fake Supersymmetry and Extremal Black Holes
• Reverse Hawking-Page Phase Transition in de Sitter Black Holes
• Extended phase space of AdS Black Holes in Einstein-Gauss-Bonnet gravity with a quadratic nonlinear electrodynamics
• The Hawking-Page crossover in noncommutative anti-deSitter space
• Hyperscaling violating black holes with spherical and hyperbolic horizons
• Parametric phase transition for Gauss-Bonnet AdS black hole
• On the throttling process of the Kerr-Newman-anti-de Sitter black holes in the extended phase space
• Geometry of criticality, supercriticality and Hawking-Page transitions in Gauss-Bonnet-AdS black holes
• Fubini instantons in Dilatonic Einstein-Gauss-Bonnet theory of gravitation
• Phase transition for black holes in dilatonic Einstein-Gauss-Bonnet theory of gravitation
• $\mathcal{P}-v$ Criticality in Gauged Supergravities
• Phases of higher spin black holes: Hawking-Page, transitions between black holes and a critical point

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• AdS black hole thermodynamics and microstructures from $f(Q)$ gravitation
• The Hawking-Page-like Phase Transition from FRW Spacetime to McVittie Black Hole
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• Stability and topological nature of charged Gauss-Bonnet AdS black holes in five dimensions
• Higher-curvature generalization of Eguchi-Hanson spaces
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