A new thermodynamic inequality 4πJ²/(3MV) < 1 is derived for rotating AdS black holes to prevent naked singularities and uphold cosmic censorship.
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P-V criticality of charged AdS black holes
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abstract
Treating the cosmological constant as a thermodynamic pressure and its conjugate quantity as a thermodynamic volume, we reconsider the critical behaviour of charged AdS black holes. We complete the analogy of this system with the liquid-gas system and study its critical point, which occurs at the point of divergence of specific heat at constant pressure. We calculate the critical exponents and show that they coincide with those of the Van der Waals system.
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representative citing papers
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.
In double holography, quantum backreaction from cutoff matter on a physical brane supplies a distinct color variable, resolving color-volume degeneracy for the quantum BTZ black hole.
Constructs charged distorted black hole metric via Harrison transformation and analyzes thermodynamics, geodesics, shadow, and quasinormal modes.
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
Applies a thermodynamic representation framework to quasi-local Schwarzschild black holes, deriving representation-dependent stability, negative thermal expansion, and cooling under isenthalpic expansion.
Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.
An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.
Black hole phase transitions in AdS spacetime show critical slowing down with relaxation time scaling as τ = |ε|^{-2/3}, and this exponent is the same for RN-AdS, Kerr-AdS, and Bardeen black holes.
In a holographic superfluid, the speed of a topological-defect-driven invasion front has a maximum at a particular quench endpoint, which the authors propose as a new nonequilibrium supercritical crossover line.
Black hole thermodynamic classifications based on temperature-curve extrema, topological winding numbers, and complex Riemann-surface foliations are equivalent; all reduce to counting the extrema of the temperature function.
Cuspy black hole shadows correspond to swallowtail thermodynamic free energy, with boundary self-intersections marking geometric phase transitions whose critical exponents fall in the mean-field class.
Conserved charges built from a Kerr-Schild background show the first law requires the Killing vector and AdS background to be held fixed, explaining why the rotating-frame energy F fails while E works, and why the geometric volume appears in the β Smarr relation.
Euler-Heisenberg AdS black holes show a four-phase structure with two critical points and multiple Widom lines in the complex plane under Lee-Yang analysis.
Quasi-normal modes are computed via the shooting method and shown to distinguish reentrant large-small-large phase transitions in nonlinear charged AdS black holes.
Extends quantum Oppenheimer-Snyder collapse model to higher dimensions plus cosmological constant and reports modified AdS black-hole thermodynamics with finite small-black-hole temperature and an extra quantum-induced phase transition.
Bardeen-AdS black holes at fixed pressure show an intermediate Gibbs curve sequence between RN-AdS swallow-tails and single branches, with the three topology boundaries controlled by the combination 8πPg².
Black hole thermodynamic criticality exhibits universal relaxation scaling and critical slowing down determined by local bifurcation structures.
An exact dyonic black hole metric is derived in Lorentz-violating gravity with background Kalb-Ramond field and nonminimal EM coupling; geodesics and extended thermodynamics are analyzed showing parameter-dependent shadows and first-order phase transitions.
Double-scaling contractions of extended AdS black-hole thermodynamics produce finite Carrollian phase-space first laws with pressure-volume contributions under the condition α + γ = 1.
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islands that restore the Page curve after a critical time.
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
Forecasts that cross-correlating 3G GW dark sirens with CSST photometric galaxies yields 1.04% precision on H0 and 2.04% on Omega_m while also constraining GW clustering bias.
citing papers explorer
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Novel thermodynamic inequality for rotating AdS black holes
A new thermodynamic inequality 4πJ²/(3MV) < 1 is derived for rotating AdS black holes to prevent naked singularities and uphold cosmic censorship.
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Explicit and covariant formula for thermodynamic volume in extended black hole thermodynamics
An explicit covariant formula for thermodynamic volume is derived that universally decomposes into explicit Lagrangian coupling dependence plus dynamical field response contributions.
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3-dimensional charged black holes in $f({Q})$ gravity
New exact charged black hole solutions in (2+1)D f(Q) gravity with cubic form yield a novel AdS solution without GR counterpart, with multiple horizons, stable thermodynamics, and stable photon orbits.
-
Quantum Black Hole Chemistry from Double Holography
In double holography, quantum backreaction from cutoff matter on a physical brane supplies a distinct color variable, resolving color-volume degeneracy for the quantum BTZ black hole.
-
Electrically Charged Distorted Black Holes: Thermodynamics, Particle Dynamics, and Quasinormal Signatures
Constructs charged distorted black hole metric via Harrison transformation and analyzes thermodynamics, geodesics, shadow, and quasinormal modes.
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Large-$N$ Carrollian Thermodynamics from AdS Black-Hole Phase-Space Contractions
Finite Carrollian black-hole thermodynamics arises as a double-scaled low-temperature large-N ensemble in AdS/CFT, with the boundary Brown-York stress tensor reproducing the contracted bulk Hamiltonian and first law.
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Black hole equations of state and response functions
Applies a thermodynamic representation framework to quasi-local Schwarzschild black holes, deriving representation-dependent stability, negative thermal expansion, and cooling under isenthalpic expansion.
-
Multihair thermodynamics of Kerr-Newman-NUT-AdS$_4$ spacetimes
Derives a Christodoulou-Ruffini-type squared-mass formula for Kerr-Newman-NUT-AdS4 using secondary NUT hairs J_n and N, then verifies the first law and Smarr relation by differentiation.
-
Off-shell Hessian thermodynamic stability of higher-curvature black holes
An off-shell Hessian criterion H = S'_W(r_h) T'(r_h) governs thermodynamic stability of higher-curvature black holes, recovering the temperature-slope rule on physical branches and producing mean-field critical exponents.
-
Critical slowing down of black hole phase transition and universal dynamic scaling in AdS black holes
Black hole phase transitions in AdS spacetime show critical slowing down with relaxation time scaling as τ = |ε|^{-2/3}, and this exponent is the same for RN-AdS, Kerr-AdS, and Bardeen black holes.
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Nonequilibrium crossover in the supercritical region from quench dynamics
In a holographic superfluid, the speed of a topological-defect-driven invasion front has a maximum at a particular quench endpoint, which the authors propose as a new nonequilibrium supercritical crossover line.
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Unifying topological, geometric, and complex classifications of black hole thermodynamics
Black hole thermodynamic classifications based on temperature-curve extrema, topological winding numbers, and complex Riemann-surface foliations are equivalent; all reduce to counting the extrema of the temperature function.
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Gravity/thermodynamics correspondence via black hole shadows
Cuspy black hole shadows correspond to swallowtail thermodynamic free energy, with boundary self-intersections marking geometric phase transitions whose critical exponents fall in the mean-field class.
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The Role of the Volume in Black Hole Thermodynamics
Conserved charges built from a Kerr-Schild background show the first law requires the Killing vector and AdS background to be held fixed, explaining why the rotating-frame energy F fails while E works, and why the geometric volume appears in the β Smarr relation.
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Complex Phase Structure and Widom line for Euler Heisenberg black holes
Euler-Heisenberg AdS black holes show a four-phase structure with two critical points and multiple Widom lines in the complex plane under Lee-Yang analysis.
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Quasi-normal modes as probes of black hole reentrant phase transitions
Quasi-normal modes are computed via the shooting method and shown to distinguish reentrant large-small-large phase transitions in nonlinear charged AdS black holes.
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Higher-dimensional quantum-corrected Oppenheimer-Snyder model with a cosmological constant
Extends quantum Oppenheimer-Snyder collapse model to higher dimensions plus cosmological constant and reports modified AdS black-hole thermodynamics with finite small-black-hole temperature and an extra quantum-induced phase transition.
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Equilibrium Gibbs Bifurcations of Bardeen-AdS Black Holes at Fixed Pressure
Bardeen-AdS black holes at fixed pressure show an intermediate Gibbs curve sequence between RN-AdS swallow-tails and single branches, with the three topology boundaries controlled by the combination 8πPg².
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Degenerate Bifurcations and Universal Relaxation Scaling in Black Hole Thermodynamics
Black hole thermodynamic criticality exhibits universal relaxation scaling and critical slowing down determined by local bifurcation structures.
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Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field
An exact dyonic black hole metric is derived in Lorentz-violating gravity with background Kalb-Ramond field and nonminimal EM coupling; geodesics and extended thermodynamics are analyzed showing parameter-dependent shadows and first-order phase transitions.
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Phase-Space Contractions of Carrollian Black-Hole Thermodynamics
Double-scaling contractions of extended AdS black-hole thermodynamics produce finite Carrollian phase-space first laws with pressure-volume contributions under the condition α + γ = 1.
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Thermodynamics and information recovery of Schwarzschild AdS black holes in conformal Killing gravity
In conformal Killing gravity, Schwarzschild AdS black holes obey the Bekenstein-Hawking area law, exhibit parameter-dependent Van der Waals-like phase transitions for positive values, and recover information via islands that restore the Page curve after a critical time.
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Holographic pressure and volume for black holes
Introduces a holographic pressure and volume for static spherically symmetric black holes via quasi-local thermodynamics, showing large black holes become extensive in the large-system limit while small ones do not.
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Synergy between CSST and third-generation gravitational-wave detectors: Inferring cosmological parameters using cross-correlation of dark sirens and galaxies
Forecasts that cross-correlating 3G GW dark sirens with CSST photometric galaxies yields 1.04% precision on H0 and 2.04% on Omega_m while also constraining GW clustering bias.
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Probing Black Hole Phase Transitions through Quasi-Periodic Oscillations
QPO frequencies in RN AdS and Kerr geometries trace distinct thermodynamic phases and their stability when plotted against Hawking temperature.
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Thermodynamics and phase transitions of $\kappa$-deformed Schwarzschild-AdS black holes
κ-deformation of Schwarzschild-AdS induces critical behaviour with P_c v_c/T_c ≃ 0.370, independent of the deformation parameter and near the Van der Waals ratio.
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Joule-Thomson Effect and Geodesic Structure of Charged AdS Black Holes in f(R,T) Coupled with Nonlinear Electrodynamics
Charge most strongly controls JT inversion and cooling domains of the f(R,T)-NLED AdS black hole; NLED and modified-gravity parameters supply only sub-leading corrections that leave exterior geodesics close to RN-AdS.
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Hawking--Page Universality, Thermodynamic Dipoles and Categorical Defects
The signed first moment of winding numbers in a thermodynamic vector field, normalized by Davies scales, produces universal ratios C_S=2 and C_T=2/√3-1 in 4D, checked for multiple AdS black-hole families, with barrier B=1/3.
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Perturbative study of Supercritical Crossover in Noncommutative-corrected Spacetime
Noncommutative corrections preserve the mean-field universality class of the supercritical crossover and Widom line in charged AdS black holes.
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Off-shell Thermodynamics and Kinetics of Holographic CFTs Dual to Charged AdS Black Holes
The paper computes phase diagrams and first-passage time distributions for phase transitions in three ensembles of holographic CFTs using off-shell free energy and Fokker-Planck kinetics.
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Quantum-statistical constraints on Kerr-anti-de Sitter thermodynamics
Quantum-statistical constraints restrict the infinite family of KadS thermodynamic descriptions to a subclass that reduces to Schwarzschild-AdS and Kerr cases in appropriate limits, with uniqueness for co-rotating and volume-coincident descriptions.
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Criticality Quenching and Microstructure of Quintessence-AdS Black Holes
Quintessence in RN-AdS black holes makes repulsive interactions dominate at high electric potentials while keeping interaction strength roughly constant across the phase transition.
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Universal Supercritical Behavior in Global Monopole-Charged AdS Black Holes
Global monopole shifts critical parameters of charged AdS black holes but leaves mean-field universal scaling of Widom line and L± crossover lines unchanged in both ensembles.
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Holographic Extended Thermodynamics of deformed AdS-Schwarzschild black hole
Analyzes bulk and boundary phase transitions in deformed AdS-Schwarzschild black holes using gravitational decoupling and holographic extended thermodynamics.
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A Note on Chaos in Hayward Black Holes with String Fluids
Melnikov analysis shows charge is essential for chaos under temporal perturbations in Hayward black holes with string fluids while spatial perturbations always produce chaos, with Lyapunov exponents modulated by string density and regularization.
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Black Hole Thermodynamics via Tsallis Statistical Mechanics and Phase Transitions Probed by Optical Characteristics
Tsallis statistics applied to Reissner-Nordström black holes yields a generalized entropy leading to Van der Waals-like phase transitions whose critical behavior is reflected in photon-sphere observables.
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Scalar-Electromagnetic Couplings as Source of Deformed Black Hole: From Shadows to Thermodynamic Topology
A scalar-NED coupled black hole metric is reconstructed from an effective geometry, yielding EHT bounds on magnetic charge, Hawking-Page transition, and topological equivalence to the Reissner-Nordström solution.
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Thermodynamics and orbital structure of anti-de Sitter black holes in Palatini-inspired nonlinear electrodynamics
An exact AdS extension of the PINLED black hole is derived from the Einstein-Hilbert action plus nonlinear EM sector, preserving the original parametric form while adding the standard AdS lapse term, followed by full thermodynamic and geodesic analysis.
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Probabilistic Evolution of Black Hole Thermodynamic States via Fokker-Planck Equation
Solving the Fokker-Planck equation shows RN-AdS black hole phase transitions synchronize with a peak in entropy production rate, driven by maximum thermodynamic dissipation.
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Extended Thermodynamics and Throttling Process of Charged AdS Black Holes in ModMax-dRGT Massive Gravity with Sharma-Mittal Entropy
Analytical extended thermodynamics of charged AdS black holes in ModMax-dRGT massive gravity with Sharma-Mittal entropy shows parameter-dependent inversion curves, van der Waals-like first-order phase transitions, and decoupled effects from each modification.
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Black hole chemistry: thermodynamics with Lambda
Treating the cosmological constant as pressure in black hole thermodynamics yields an extended dictionary with enthalpy, thermodynamic volume, and chemical-like phase transitions including Van der Waals behavior, reentrant transitions, and triple points.
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On Thermodynamics of Charged Black Holes, Swampland, and Dark Matter
A thermodynamic treatment of charged black holes is proposed to connect swampland conjectures to the dark dimension and dark matter using dynamical cosmological constant and quasi-static scalar fields.
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Topology of black hole thermodynamics: A brief review
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
- Multicritical points of gravitational solitons and a black hole in four dimensions