Thermogeometric phase transition in a unified framework

Abstract

Using geomterothermodynamics (GTD), we investigate the phase transition of black hole in a metric independent way. We show that for any black hole, curvature scalar (of equilibrium state space geometry) is singular at the point where specific heat diverges. Previously such a result could only be shown by taking specific examples on a case by case basis. A different type of phase transition, where inverse specific heat diverges, is also studied within this framework. We show that in the latter case, metric (of equilibrium state space geometry) is singular instead of curvature scalar. Since a metric singularity may be a coordinate artifact, we propose that GTD indicates that it is the singularity of specific heat and not inverse specific heat which indicates a phase transition of black holes.

Minor changes, to appear in Phys. Lett. B

References in corpus (39)

• Geometrothermodynamics
• Thermodynamic curvature and phase transitions in Kerr-Newman black holes
• Geometry of black hole thermodynamics
• Critical Phenomena and Thermodynamic Geometry of RN-AdS Black Holes
• Thermodynamic Geometry and Critical Behavior of Black Holes
• Geometrothermodynamics of black holes
• Phase transition and Thermodynamical geometry of Reissner-Nordström-AdS Black Holes in Extended Phase Space
• Geometry of Higher-Dimensional Black Hole Thermodynamics
• Thermodynamic Curvature of the BTZ Black Hole
• Phase transition and thermodynamic geometry of Einstein-Maxwell-dilaton black holes
• New type of phase transition in Reissner Nordström - AdS black hole and its thermodynamic geometry
• Stability and Critical Phenomena of Black Holes and Black Rings
• Critical phenomena in Born-Infeld AdS black holes
• Second Order Phase Transition and Thermodynamic Geometry in Kerr-AdS Black Hole
• A new approach toward geometrical concept of black hole thermodynamics
• Critical behavior of Born Infeld AdS black holes in higher dimensions
• Unified geometric description of black hole thermodynamics
• Correspondence of phase transition points and singularities of thermodynamic geometry of black holes
• Flat Information Geometries in Black Hole Thermodynamics
• Geometric description of BTZ black holes thermodynamics
• Thermodynamic Geometry Of Charged Rotating BTZ Black Holes
• Glassy Phase Transition and Stability in Black Holes
• Critical behavior in 2+1 dimensional black holes
• Thermodynamic instability of rotating black holes
• A Commentary on Ruppeiner Metrics for Black Holes
• Phase transition of charged Black Holes in Brans-Dicke theory through geometrical thermodynamics
• Thermodynamic properties of asymptotically Reissner-Nordstrom black holes
• Phase transition and critical phenomena of black holes: A general approach
• Continuous phase transition and critical behaviors of 3D black hole with torsion
• Phase transition and scaling behavior of topological charged black holes in Horava-Lifshitz gravity
• Ruppeiner geometry and 2D dilaton gravity in the thermodynamics of black holes
• Geometrothermodynamics of the Kehagias-Sfetsos Black Hole
• Geometrothermodynamics of black holes in Lovelock gravity with a nonlinear electrodynamics
• Einstein-Maxwell-Dilatonic phantom black holes: Thermodynamics and geometrothermodynamics
• The geometry of the higher dimensional black hole thermodynamics in Einstein-Gauss-Bonnet theory
• Geometro-thermodynamics of tidal charged black holes
• Phase transitions, geometrothermodynamics and critical exponents of black holes with conformal anomaly
• Geometrothermodynamics of Myers-Perry black holes
• Thermodynamic Geometry of the Born-Infeld-anti-de Sitter black holes

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