Thermodynamic Geometry of AdS Black Holes and Black Holes in a Cavity

Abstract

The thermodynamic geometry has been proved to be quite useful in understanding the microscopic structure of black holes. We investigate the phase structure, thermodynamic geometry and critical behavior of a Reissner-Nordstrom-AdS black hole and a Reissner-Nordstrom black hole in a cavity, which can reach equilibrium in a canonical ensemble. Although the phase structure and critical behavior of both cases show striking resemblance, we find that there exist significant differences between the thermodynamic geometry of these two cases. Our results imply that there may be a connection between the black hole microstates and its boundary condition.

arXiv commentv1: 28 pages,9 figures; v2: 29 pages. Comments and references added

References in corpus (56)

• Gauge Theory Correlators from Non-Critical String Theory
• The Large N Limit of Superconformal Field Theories and Supergravity
• Microscopic Origin of the Bekenstein-Hawking Entropy
• 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
• 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
• D-brane Approach to Black Hole Quantum Mechanics
• Pressure and volume in the first law of black hole thermodynamics
• Black Holes and Critical Points in Moduli Space
• Critical phenomena and thermodynamic geometry of charged Gauss-Bonnet AdS black holes
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Geometry of black hole thermodynamics
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Thermodynamic Geometry and Critical Behavior of Black Holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Thermodynamics of Reissner-Nordstrom-anti-de Sitter black holes in the grand canonical ensemble
• Geometry of Higher-Dimensional Black Hole Thermodynamics
• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• On the Thermodynamic Geometry of BTZ Black Holes
• Geometrothermodynamics of asymptotically anti - de Sitter black holes
• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• Microstates of a Neutral Black Hole in M Theory
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Ruppeiner Geometry of RN Black Holes: Flat or Curved?
• Phase Transitions and Critical Behavior for Charged Black Holes
• On the Thermodynamic Geometry and Critical Phenomena of AdS Black Holes
• Thermodynamical Metrics and Black Hole Phase Transitions
• Correspondence of phase transition points and singularities of thermodynamic geometry of black holes
• Microstructure and continuous phase transition of RN-AdS black hole
• Hessian matrix, specific heats, Nambu brackets, and thermodynamic geometry
• Critical Phenomena of Charged de Sitter Black Holes in Cavities
• Charged Black Hole in a Canonical Ensemble
• Microscopic structures and thermal stability of black holes conformally coupled to scalar fields in five dimensions
• Nonperturbative Thermodynamic Geometry of Anyon Gas
• Thermodynamics and Phase Transitions of Nonlinear Electrodynamics Black Holes in an Extended Phase Space
• Thermogeometric phase transition in a unified framework
• Phase transitions and critical behavior of black branes in canonical ensemble
• Scalar field configurations supported by charged compact reflecting stars in a curved spacetime
• Thermodynamics and Phase Transition of a Nonlinear Electrodynamics Black Hole in a Cavity
• On the thermodynamics of the black hole and hairy black hole transitions in the asymptotically flat spacetime with a box
• Geometrothermodynamics as a singular conformal thermodynamic geometry
• A general framework to study the extremal phase transition of black holes
• Restricted thermodynamic fluctuations and the Ruppeiner geometry of black holes
• Thermodynamic instability of doubly spinning black objects
• Thermodynamic Geometry of black hole in the deformed Horava-Lifshitz gravity
• Thermodynamic Information Geometry and Complexity Growth of Warped AdS Black Hole and the WAdS${}_3$/CFT${}_2$ Correspondence
• Studies of a general flat space/boson star transition model in a box through a language similar to holographic superconductors
• Information Geometry on the Space of Equilibrium States of Black Holes in Higher Derivative Theories
• Thermodynamic Geometry of Black Holes in the Canonical Ensemble
• The phase structure of black D1/D5 (F/NS5) system in canonical ensemble
• Modulating the phase structure of black D6 branes in canonical ensemble
• Bubbles and Black Branes in Grand Canonical Ensemble

Cited by in corpus (24)

• Thermodynamic geometry of the novel 4-D Gauss Bonnet AdS Black Hole
• Probing Phase Structure of Black Holes with Lyapunov Exponents
• Lyapunov Exponents and Phase Transitions of Born-Infeld AdS Black Holes
• Emergent Phase, Thermodynamic Geometry and Criticality of Charged Black Holes from Rényi Statistics
• Thermodynamics and Phase Structure of an Einstein-Maxwell-scalar Model in Extended Phase Space
• Universal criticality of thermodynamic geometry for boundary conformal field theories in gauge/gravity duality
• Extended Phase Space Thermodynamics for Black Holes in a Cavity
• Fine micro-thermal structures for Reissner-Nordström black hole
• The correspondence between thermodynamic curvature and isoperimetric theorem from ultraspinning black hole
• Thermodynamics of FRW Universe: Heat Engine
• Diagnosis inspired by the thermodynamic geometry for different thermodynamic schemes of the charged BTZ black hole
• Non-perturbative correction to the Horava-Lifshitz black hole thermodynamics
• Hawking--Page phase transitions of the black holes in a cavity
• Photon orbits and phase transition for Letelier AdS black holes immersed in perfect fluid dark matter
• Scalarized Einstein-Maxwell-scalar Black Holes in a Cavity
• Thermodynamic Geometry of Black Holes Enclosed by a Cavity in Extended Phase Space
• Black Holes in a Cavity: Heat engine and Joule-Thomson Expansion
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• Lyapunov Exponents, Phase Transitions, and Chaos Bound of ModMax AdS Black Holes
• Thermodynamics and Microstructures of Euler-Heisenberg Black Hole in a Cavity
• Phase transitions and thermodynamic geometry of a Kerr-Newman black hole in a cavity
• A new measure of thermal micro-behavior for the AdS black hole
• The Joule--Thomson and Joule--Thomson-like effects of the black holes in a cavity