Extended phase space thermodynamics for charged and rotating black holes and Born-Infeld vacuum polarization

Abstract

We investigate the critical behaviour of charged and rotating AdS black holes in d spacetime dimensions, including effects from non-linear electrodynamics via the Born-Infeld action, in an extended phase space in which the cosmological constant is interpreted as thermodynamic pressure. For Reissner-Nordstrom black holes we find that the analogy with the Van der Walls liquid-gas system holds in any dimension greater than three, and that the critical exponents coincide with those of the Van der Waals system. We find that neutral slowly rotating black holes in four space-time dimensions also have the same qualitative behaviour. However charged and rotating black holes in three spacetime dimensions do not exhibit critical phenomena. For Born-Infeld black holes we define a new thermodynamic quantity B conjugate to the Born-Infeld parameter b that we call Born-Infeld vacuum polarization. We demonstrate that this quantity is required for consistency of both the first law of thermodynamics and the corresponding Smarr relation.

23 pages, 32 figures, v2: minor changes, upgraded references

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• Charged black holes from a family of Born-Infeld-type electrodynamics models
• Thermodynamic and Holographic Information Dual to Volume
• Phase Transition of charged Rotational Black Hole and Quintessence
• Thermodynamics of $d$-Dimensional Charged AdS (Anti-de Sitter) Black Holes: Hamiltonian Approach and Clapeyron Equation
• Topological black holes in Einstein-Maxwell and 4D conformal gravities revisited
• Thermodynamic features of AdS black holes within the Rastall gravity and perfect fluid matter framework
• Charged accelerating AdS black hole of $f(R)$ gravity and the Joule-Thomson expansion
• Nonlinear Yang-Mills black holes
• Phase Transition of the Horava-Lifshitz AdS black holes
• Charged Lifshitz black holes from general covariance breaking
• Phase Transition of RN-AdS Black Hole with Fixed Electric Charge and Topological Charge
• Holographic Joule-Thomson Expansion in Lower Dimensions
• Dark Energy Accretion onto Van der Waal's Black Hole
• Static topological black hole with nonminimal derivative coupling and nonlinear electromagnetic field of Born-Infeld type
• Magnetic black holes in 4$D$ Einstein--Gauss--Bonnet massive gravity coupled to nonlinear electrodynamics
• Holographic Heat Engines Coupled with Logarithmic $U(1)$ Gauge Theory
• Thermodynamics of a higher dimensional noncommutative anti-de Sitter-Einstein-Born-infeld black hole
• Topology of black hole thermodynamics: A brief review
• Thermodynamic topology of dyonic AdS black holes with quasitopological electromagnetism in Einstein-Gauss-Bonnet gravity
• On the stability of black holes with nonlinear electromagnetic fields
• Thermodynamics of dyonic black holes in non-linear electrodynamics
• Regularization ambiguity and van der Waals black hole in 2+1 dimensions
• Thermodynamics of blackbody radiation in nonlinear electrodynamics
• Hamilton-Jacobi Formulation of the Thermodynamics of Einstein-Born-Infeld-AdS Black Holes
• Simpson-Visser-AdS Black Holes: Thermodynamics and Binary Merger
• Entanglement entropy in a holographic p-wave superconductor model
• Born-Infeld-AdS black hole phase structure: Landau theory and free energy landscape approaches
• A Deep Dive into classical and Topological CFT Thermodynamics in Lifshitz and Hyperscaling Violating Black Holes
• Optical, Dynamic and Topological Characteristics of Deformed Schwarzschild Black Holes
• Photon orbits and phase transition for gravitational decoupled Kerr anti-de Sitter black holes
• Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
• Joule-Thomson expansion of Reissner-Nordström-Anti-de Sitter black holes with cloud of strings and quintessence
• Phase transitions in D-dimensional Gauss-Bonnet-Born-Infeld AdS black holes
• Phase transitions in four-dimensional AdS black holes with a nonlinear electrodynamics source
• Coexistence curve and molecule number density of AdS topological charged black hole in massive gravity
• Thermodynamics, photon sphere and thermodynamic geometry of Ayón-Beato-García Spacetime
• Dynamics and kinetics of phase transition for regular AdS black holes in general relativity coupled to non-linear electrodynamics
• Extended phase space thermodynamics of magnetized black holes with nonlinear electrodynamics
• The generalization of charged AdS black hole specific volume and number density
• Phase transition of the higher dimensional charged Gauss-Bonnet black hole in de Sitter spacetime
• Gauss-Bonnet entropy and thermal dynamics of RN-AdS black holes
• Thermodynamics and Phase transition of Schwarzschild black hole in Gravity's Rainbow
• Thermodynamic phase transition of Anti-de Sitter Reissner-Nordström black holes with exotic Einstein-Maxwell gravities
• Ratio of critical quantities related to Hawking temperature-entanglement entropy criticality
• Topological Signatures and Geometrothermodynamics of Critical Phenomena in Regularized Maxwell Black Holes
• Maxwell's equal area law and the Hawking-Page phase transition
• Thermal chaos of quantum-corrected-AdS black hole in the extended phase space
• Spacetime Foam Effects on Charged AdS Black Hole Thermodynamics
• Information evolution in the interior of an axially symmetric BTZ black hole
• Three-dimensional static black hole with $\Lambda$ and nonlinear electromagnetic fields and its thermodynamics
• Thermodynamics and phase transitions of charged-AdS black holes in dRGT massive gravity with nonlinear electrodynamics
• P-V criticality of conformal anomaly corrected AdS black holes
• Complex Plane Phase Diagram and Widom Line for the Born-Infeld Black Holes with Reentrant Phase Transition
• Thermodynamic Topology of 4D Charged AdS Black Holes with $F^{\alpha \beta }{F}^{\gamma \lambda }{R}_{\alpha \gamma \beta \lambda }$ Coupling
• Stability of horizon with pressure and volume of d-dimensional charged AdS black holes with cloud of strings and quintessence
• Modification of phase structure of black D6 branes in a canonical ensemble and its origin
• Criticality of Lower Dimensional AdS${}_d$ Black Holes
• Thermodynamic analysis of a compact object in Rastall-Rainbow gravity
• Statistical Physics of 3D Hairy Black Holes
• Born-Infeld AdS Black Holes Surrounded by Perfect Fluid Dark Matter
• Critical points in Lovelock Black Holes
• Modifying horizon thermodynamics by surface tensions
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Thermodynamic Constraints on Perfect Equilibrium Superconducting Diodes
• Revisiting particle circular orbits as probes of black hole phase transitions
• Restricted Phase Space Thermodynamics of Charged Static and Charged Rotating Black Holes in $f(R)$ Gravity
• Phase transitions in scalarized topological AdS black holes
• Universality on thermodynamic relation with corrections in Einstein-Bel-Robinson gravity Black hole
• Bardeen-Kiselev black hole with cosmological constant
• Modified first law of charged dilaton black hole
• Tricritical point and solid/liquid/gas phase transition of higher dimensional AdS black hole in massive gravity
• A Brief Thermodynamic Study For Four Dimensional Einstein Gauss Bonnet Black Holes Using Fractalised Barrow Entropy
• The thermodynamic relationship between the RN-AdS black holes and the RN black hole in canonical ensemble
• Imprints of Topological Thermodynamics on Black Hole Dynamics
• On the nonlinear electrodynamics in a Lorentz-breaking scenario
• Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
• Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole
• Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
• Heat Capacity and the Violation of Scaling Laws in Gravitational System