Thermodynamics of Kerr-Newman-AdS Black Holes and Conformal Field Theories

Abstract

We study the thermodynamics of four-dimensional Kerr-Newman-AdS black holes both in the canonical and the grand-canonical ensemble. The stability conditions are investigated, and the complete phase diagrams are obtained, which include the Hawking-Page phase transition in the grand-canonical ensemble. In the canonical case, one has a first order transition between small and large black holes, which disappears for sufficiently large electric charge or angular momentum. This disappearance corresponds to a critical point in the phase diagram. Via the AdS/CFT conjecture, the obtained phase structure is also relevant for the corresponding conformal field theory living in a rotating Einstein universe, in the presence of a global background U(1) current. An interesting limit arises when the black holes preserve some supersymmetry. These BPS black holes correspond to highly degenerate zero temperature states in the dual CFT, which lives in an Einstein universe rotating with the speed of light.

27 pages, RevTeX, 12 ps figures. Minor changes, references added. Final version to appear in Class. Quantum Grav

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• ${\tilde{W}}^{1+}$ subclass: Extending the topological classification of black hole thermodynamics
• Novel equal area law and analytical charge-electric potential criticality for charged Anti-de Sitter black holes
• Entropy Bounds for Rotating AdS Black Holes
• Entropy bound for a rotating system from Anti de Sitter black holes
• Validity of Thermodynamic Laws and Weak Cosmic Censorship for AdS Black Holes and Black Holes in a Cavity
• Dynamic Property of Phase Transition for Non-Linear Charged Anti-de Sitter black holes
• Charged rotating dilaton black branes in AdS universe
• A Note on Circular Geodesics and Phase Transitions of Black Holes
• The microstructure and Ruppeiner geometry of charged anti-de Sitter black holes in Gauss-Bonnet gravity: from the critical point to the triple point
• Thermodynamics of Black Holes with Rényi Entropy from Classical Gravity
• Thermodynamics Of dilaton-axion black holes
• Universal Entropy and Hawking Radiation of Near-Extremal AdS${}_4$ Black Holes
• Holography of Low-Centrality Heavy Ion Collisions
• Phase structures and critical behaviour of rational non-linear electrodynamics AdS black holes in Rastall gravity
• $\mathcal{P}-v$ Criticality in Gauged Supergravities
• The Near-Horizon Geometry of Supersymmetric Rotating AdS${}_4$ Black Holes in M-theory
• On the CFT duals for near-extremal black holes
• The Phase Diagram of BPS Black Holes in AdS${}_5$
• Smarr formula for BTZ black holes in general three-dimensional gravity models
• Critical Phenomena and Reentrant Phase Transition of Asymptotically Reissner-Nordstrom Black Holes
• On the dual relation in the Hawking--Page phase transition of the black holes in a cavity
• Phase Structures and Transitions of Quintessence Surrounding RN Black Holes in a Grand Canonical Ensemble
• Universality on thermodynamic relation with corrections in de Sitter black holes
• Novel logarithmic corrections to black hole entropy
• Thermal Fluctuations And Correlations Among Hairs Of Stable Quantum ADS Kerr-Newman Black Hole
• Vortex hair on AdS black holes
• Nonlinearly Charged Black Hole Chemistry with Massive Gravitons in the Grand Canonical Ensemble
• CFT Phase Transition Analysis of Charged, Rotating Black Holes in $D=4$: A Holographic Thermodynamics Approach
• Near-Extremal Black Hole Thermodynamics from AdS2/CFT1 Correspondence in The Low Energy Limit of 4D Heterotic String Theory
• CFT and Logarithmic Corrections to the Black Hole Entropy Product Formula
• Thermodynamics of a rotating black hole in minimal five-dimensional gauged supergravity
• Effects of a global monopole on thermodynamic phase transition of the charged AdS black hole
• The Holar Wind
• Hawking-Page phase transition of the Schwarzschild AdS black hole with the effective Tolman temperature
• Black holes with halos
• Thermodynamic analysis of non-linear Reissner-Nordstrom black holes
• Critical Heat Engines in Massive Gravity
• The zeroth law in quasi-homogeneous thermodynamics and black holes
• Continuous Phase Transition of the higher-dimensional topological de-Sitter Spacetime with the Non-linear Source
• Thermodynamic Volume of Cosmological Solitons
• Thermodynamics and weak cosmic censorship conjecture of charged AdS black hole in the Rastall gravity with pressure
• The Extended Thermodynamic Properties of a topological Taub-NUT/Bolt-AdS spaces
• Thermodynamic geometry and phase transition of spinning AdS black holes
• Quasinormal Modes and Van der Waals like phase transition of charged AdS black holes in Lorentz symmetry breaking massive gravity
• Universality for Black Hole Heat Engines Near Critical Points
• Testing the microstructure of $d$-dimensional charged Gauss-Bonnet anti-de Sitter black holes
• Thermodynamics of charged rotating dilaton black branes coupled to logarithmic nonlinear electrodynamics
• Holographic Entanglement Entropy and Van der Waals transitions in Einstein-Maxwell-dilaton theory
• Joule-Thomson effect of AdS black holes in conformal gravity
• Rotating black holes in the FI-gauged $N=2$, $D=4$ ${\overline{\mathbb{C}\text{P}}}^n$ model
• Testing the weak cosmic censorship conjecture for extremal magnetized Kerr-Newman black holes
• Van der Waals Black Holes: Universality, Quantum Corrections, and Topological Classifications
• Characterized behaviors of black hole thermodynamics in the supercritical region
• Testing thermodynamic laws and weak cosmic censorship conjecture of conformal anomaly corrected AdS black hole
• BTZ black hole with KdV-type boundary conditions: Thermodynamics revisited
• Anyon Black Holes
• Thermodynamic Geometry and Phase Transitions of AdS Braneworld Black Holes
• Interaction Between AdS Black Hole Molecules
• Thermal stability of a special class of black hole solutions in F(R) gravity
• Negative specific heat of black-holes from Fluid-Gravity Correspondence
• Meronic AdS Black Holes in Gauss-Bonnet Theory
• Extremal Bifurcations of Rotating AdS${}_4$ Black Holes
• Quantum corrections to the thermodynamics and phase transition of a black hole surrounded by a cavity in the extended phase space
• Phase transitions and thermodynamic geometry of a Kerr-Newman black hole in a cavity
• Why is Black Hole Entropy Affected by Rotation?
• The phase transition of Rastall AdS black hole with cloud of strings and quintessence
• Electric/magnetic duality of dyonic Kerr-Newman-NUT-AdS spacetimes
• Thermal analysis of black hole in de Rham--Gabadadze--Tolley massive gravity in Barrow entropy framework
• Three-dimensional accelerating AdS black holes in $F(R)$ gravity
• Nonlinear Charged Black Holes in Anti-de Sitter Quasi-Topological Gravity
• Logarithmic corrections to black hole and black ring entropy in tunneling approach
• Kerr-AdS Black Holes and Force-Free Magnetospheres
• First Law, Counterterms and Kerr-AdS_5 Black Holes
• Reduced thermodynamics and an exact phase transition of five-dimensional Kerr-AdS black holes with equal spin parameters
• Event Horizon Wrinklification
• Logarithmic correction to the entropy of a Kerr-Newman family of black holes in $U(1{)}^2$-charged STU supergravity models
• General mass formulas for charged Kerr-AdS black holes
• Asymptotic Symmetries of Three-Dimensional Black Strings
• Magnetic charges in the AdS(4) superalgebra osp(4|2)
• Emergent Black Hole Thermodynamics from Monodromy
• Holographic dark energy satisfying the energy conditions in Lovelock gravity
• Extended quasilocal Thermodynamics of Schwarzchild-anti de Sitter black holes
• Near Horizon Symmetry and Entropy Formula for Kerr-Newman (A)dS Black Holes
• The first law of AdS black holes in higher curvature gravity
• On heat properties of charged AdS black holes in Gauss-Bonnet gravity coupled with nonlinear electrodynamics
• Initial data for rotating cosmologies
• First law of black hole mechanics in variable background fields
• Geometrothermodynamics of black holes with a nonlinear source
• Kramer's Escape Rate and Phase Transition Dynamics in AdS Black Holes
• Thermodynamics of a Schwarzschild black hole surrounded by quintessence in the generalized uncertainty principle framework
• New solutions of exotic charged black holes and their stability
• More on the SW-QNM correspondence
• Entanglement growth during Van der Waals like phase transition
• Sparseness bounds on local operators in holographic $CF{T}_d$
• Euclidean Thermodynamics and Lyapunov Exponents of Einstein-Power-Yang-Mills AdS Black Holes
• Exploring critical behavior of thermodynamic variables of the Kerr-Newman-AdS black hole in the restricted phase space
• Hawking-Page Phase Transition of the four-dimensional de-Sitter Spacetime with non-linear source
• Statistical ensembles and logarithmic corrections to black hole entropy
• Einstein-Katz action, variational principle, Noether charges and the thermodynamics of AdS-black holes
• Free energy of a Lovelock holographic superconductor
• Dark Energy Accretion onto Van der Waal's Black Hole
• Higher-Derivative Supergravity, AdS${}_4$ Holography, and Black Holes
• Static black holes with a negative cosmological constant: Deformed horizon and anti-de Sitter boundaries
• Stability of Schwarzschild (Anti)de Sitter black holes in Conformal Gravity
• Bulk entropy is crucial to validate the second law of the extended black hole thermodynamics
• Thermodynamic features of AdS black holes within the Rastall gravity and perfect fluid matter framework
• Hidden conformal symmetry and pair production near the cosmological horizon in Kerr-Newman-Taub-NUT-de Sitter spacetime
• Geometrothermodynamics for Black holes and de Sitter Space
• Holographic Joule-Thomson Expansion in Lower Dimensions
• Thermodynamics of Near BPS Black Holes in AdS${}_4$ and AdS${}_7$
• Generating Kerr-anti-de Sitter thermodynamics
• Cosmic acceleration in Lovelock quantum gravity
• Large charge operators at large spin from relativistically rotating vortices
• Magnetic black hole thermodynamics in an extended phase space with nonlinear electrodynamics
• Five-dimensional Nernst branes from special geometry
• Field Theories Without a Holographic Dual
• Spin Interaction under the Collision of Two Kerr-(anti-)de Sitter Black Holes
• Charged Taub-NUT-de Sitter spacetime in DGP braneworld and its thermodynamics
• The effect of the WGC condition on the maximal energy extracted from black holes
• Unruh thermal hadronization and the cosmological constant
• Topological confinement in Skyrme holography
• The temperature and entropy corrections on the charged hairy black holes
• Complexity growth rate, grand potential and partition function
• Holographic pressure and volume for black holes
• GUP corrections to black hole thermodynamics in the extended phase space approach
• The role of the cosmological constant as a pressure in the (2+1)-dimensional black string
• Regular black holes and reductions of thermodynamic phase spaces
• Refined Thermodynamics of Black Holes with Proper Conserved Charges
• Klein-Gordon and Schrödinger solutions in Lovelock quantum gravity
• Comments on Sen's Classical Entropy Function for Static and Rotating AdS${}_4$ Black Holes
• On Quantum Microstates in the Near Extremal, Near Horizon Kerr Geometry
• Thermodynamic Behavior of a 4D Nonminimal Maxwell-AdS Black Hole
• Vacuum decay and bubble nucleation in the anti-de Sitter black holes
• First Law and a Variational Principle for Static Asymptotically Randall-Sundrum Black Holes
• Thermodynamics of spinning AdS4 black holes in gauged supergravity
• Topological Signatures and Geometrothermodynamics of Critical Phenomena in Regularized Maxwell Black Holes
• On the Near Horizon Canonical Quantum Microstates from $Ad{S}_2/CF{T}_1$ and Conformal Weyl Gravity
• Thermodynamic phase transition of Anti-de Sitter Reissner-Nordström black holes with exotic Einstein-Maxwell gravities
• Gauss-Bonnet entropy and thermal dynamics of RN-AdS black holes
• Vortical Effects for Free Fermions on Anti-De Sitter Space-Time
• Inertial Frame Dragging and Relative Rotation of ZAMOs in Axistationary Asymptotically Flat Spacetimes
• Isentropic processes for axisymmetric Black Holes
• Holographic and QFT Complexity with angular momentum
• Notes on sums over horizons
• Criticality of Lower Dimensional AdS${}_d$ Black Holes
• Extended thermodynamics and $P-v$ Criticality of Kalb-Ramond black hole coupled with nonlinear electrodynamics
• Exploring non-perturbative effects on quasi-topological black hole thermodynamics
• Black-Hole Thermodynamics from Gauge Freedom in Extended Iyer-Wald Formalism
• Characterising the Most Rapidly Rotating AdS${}_5$-Kerr Black Holes
• Notes on solution phase space and BTZ black hole
• Non-linear instability of slowly rotating Kerr-AdS black holes
• Regularity of a double null coordinate system for Kerr-Newman-de Sitter spacetimes
• Retarded Green's Function from Rotating AdS Black Holes: Emergent CFT${}_2$ and Viscosity
• Entropy of Kerr--Newman--AdS black holes with torsion
• Phase transition structure and breaking of universal nature of central charge criticality in a Born-Infeld $AdS$ black hole
• Off-shell phase diagram of BPS black holes in AdS${}_5$
• Extended Holographic Rényi Entropy and hyperbolic black hole with scalar hair
• The generalized first law for more general matter
• Radially Excited AdS${}_5$ Black Holes in Einstein--Maxwell--Chern--Simons Theory
• Thermodynamics and phase transitions of black holes in contact with a gravitating heat bath
• On Acceleration in Three Dimensions
• Charged and rotating Black AdS Branes in $n+p+2$ dimensions
• General thermodynamic geometry approach for rotating Kerr anti-de Sitter black holes
• Central Singularity of Three-Dimensional Kerr-de Sitter Black Holes
• On Thermodynamic Stability of Black Holes. Part II: AdS Family of Solutions