A polynomial Plebański structural function H(P) enables the first realization of multicritical points in 4D GR, with the soliton sector exhibiting multiple first-order phase transitions whose number is set by the polynomial degree.
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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
A new thermodynamic inequality 4πJ²/(3MV) < 1 is derived for rotating AdS black holes to prevent naked singularities and uphold cosmic censorship.
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.
Quench dynamics in a holographic superfluid reveal a nonequilibrium crossover line in the supercritical region defined by a turning point in invasion velocity.
Three classification schemes for black hole thermodynamics are equivalent, with the count of temperature extrema determining the class in each framework.
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.
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.
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.
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.
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.
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.
QPO frequencies in RN AdS and Kerr geometries trace distinct thermodynamic phases and their stability when plotted against Hawking temperature.
κ-deformation induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.
Adapting Barnich-Compère conserved charges, the first law requires unvarying components for both the Killing vector and AdS background (true for E's ξ but not F's β), while V_C enters the β-Smarr relation due to simplifications from the principal conformal Killing-Yano tensor.
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.
Quintessence in RN-AdS black holes makes repulsive interactions dominate at high electric potentials while keeping interaction strength roughly constant across the phase transition.
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.
citing papers explorer
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Multicritical points of gravitational solitons and a black hole in four dimensions
A polynomial Plebański structural function H(P) enables the first realization of multicritical points in 4D GR, with the soliton sector exhibiting multiple first-order phase transitions whose number is set by the polynomial degree.
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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.
-
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.
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Nonequilibrium crossover in the supercritical region from quench dynamics
Quench dynamics in a holographic superfluid reveal a nonequilibrium crossover line in the supercritical region defined by a turning point in invasion velocity.
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Unifying topological, geometric, and complex classifications of black hole thermodynamics
Three classification schemes for black hole thermodynamics are equivalent, with the count of temperature extrema determining the class in each framework.
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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.
-
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.
-
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.
-
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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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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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 induces critical behavior and phase transitions in uncharged Schwarzschild-AdS black holes with Pc vc/Tc ≈ 0.37 independent of κ and a double-loop G-T structure.
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The Role of the Volume in Black Hole Thermodynamics
Adapting Barnich-Compère conserved charges, the first law requires unvarying components for both the Killing vector and AdS background (true for E's ξ but not F's β), while V_C enters the β-Smarr relation due to simplifications from the principal conformal Killing-Yano tensor.
-
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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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.
- Phase-Space Contractions of Carrollian Black-Hole Thermodynamics