Thermodynamic geometry and phase transition of spinning AdS black holes

Abstract

Employing the thermodynamic geometry approach, we explore phase transition of four dimensional spinning black holes in an anti-de Sitter (AdS) spaces and found the following novel results. (i) Contrary to the charged AdS black hole, thermodynamic curvature of the spinning AdS black hole diverges at the critical point, without needing normalization.(ii) There is a certain region with small entropy in the space of parameters for which the thermodynamic curvature is positive and the repulsive interaction dominates. Such behavior exists even when the pressure is extremely large. (iii) The dominant interactions in the microstructure of extremal spinning AdS black holes are strongly repulsive, which is similar to an ideal gas of fermions at zero temperature. (iv) The maximum of thermodynamic curvature, $\left|R\right|$, is equal to $C_{{}_P}$ maximum values for the Van der Waals fluid in the supercritical region. While for the black hole, they are close to each other near the critical point.

arXiv comment7 pages, 5 figures

References in corpus (40)

• P-V criticality of charged AdS black holes
• Charged AdS Black Holes and Catastrophic Holography
• Enthalpy and the Mechanics of AdS Black Holes
• 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
• Pressure and volume in the first law of black hole thermodynamics
• The cosmological constant and the black hole equation of state
• Reentrant Phase Transitions in Rotating AdS Black Holes
• Insight into the Microscopic Structure of an AdS Black Hole from Thermodynamical Phase Transition
• Extended phase space thermodynamics and P-V criticality of black holes with nonlinear source
• Triple points and phase diagrams in the extended phase space of charged Gauss-Bonnet black holes in AdS space
• Repulsive Interactions and Universal Properties of Charged Anti-de Sitter Black Hole Microstructures
• Compressibility of rotating black holes
• Superfluid 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
• Thermodynamic Curvature of the BTZ Black Hole
• Ruppeiner Geometry, Phase Transitions, and the Microstructure of Charged AdS Black Holes
• Thermodynamic curvature measures interactions
• Critical behaviour and microscopic structure of charged AdS black holes via an alternative phase space
• Thermodynamic Geometry, Phase Transitions, and the Widom Line
• Phase transition and thermodynamical geometry for Schwarzschild AdS black hole in $Ad{S}_5\times S^5$ spacetime
• Analytical and exact critical phenomena of $d$-dimensional singly spinning Kerr-AdS black holes
• Thermodynamic curvature and black holes
• Thermodynamic geometry for charged Gauss-Bonnet black holes in AdS spacetimes
• Thermodynamic curvature from the critical point to the triple point
• Ruppeiner thermodynamic geometry for the Schwarzschild-AdS black hole
• Microscopic Origin of Black Hole Reentrant Phase Transitions
• Novel phase transition in charged dilaton black holes
• Thermodynamic curvature: pure fluids to black holes
• Thermodynamic geometry and interacting microstructures of BTZ black holes
• The compressibility of rotating black holes in D-dimensions
• Ruppeiner Geometry, Reentrant Phase transition and Microstructure of Born-Infeld AdS Black Hole
• Microstructure of charged AdS black hole via $P-V$ criticality
• Thermodynamics, phase transitions and Ruppeiner geometry for Einstein-dilaton Lifshitz black holes in the presence of Maxwell and Born-Infeld electrodynamics
• Thermodynamic stability of asymptotically anti-de Sitter rotating black holes in higher dimensions
• Van der Waals-like Behaviour of Charged Black Holes and Hysteresis in the Dual QFTs
• Thermodynamic curvature of the Schwarzschild-AdS black hole and Bose condensation
• Hysteresis in $\eta /s$ for QFTs dual to spherical black holes

Cited by in corpus (2)

• The generalized uncertainty principle impact onto the black hole thermodynamic phase transition
• Microstructure of Charged AdS Black Hole with Minimal Length Effects