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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In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
Applies a thermodynamic representation framework to quasi-local Schwarzschild black holes, deriving representation-dependent stability, negative thermal expansion, and cooling under isenthalpic expansion.
The Smarr formula is structurally identical to the single-copy Gauss's law for Kerr-Schild black holes, with the AdS pressure-volume term arising from gauge background subtraction.
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
Stirling efficiency reaches Carnot when fixed-volume heat capacity is volume-independent, true for classical gases but not quantum or CFTs; holographic CFTs approach Carnot at large potentials with faster convergence under regeneration.
Scalarized black holes in EMS theory lack smooth Cauchy horizons and form Kasner singularities, with a scaling relation between Kasner parameter and charge-to-mass ratio near criticality.
Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.
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.
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.
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.
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.
Nuclei are 3A-quark systems where Fermi gas explains equal u/d quarks in light nuclei, a modified bag model fits heavier ones, and AdS5 duality predicts the lightest glueball's decay and sets the maximum stable nuclear charge at Z=82 for lead.
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.
Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
citing papers explorer
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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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Topological charge and black hole photon spheres in massive gravity
In dRGT massive gravity, static spherically symmetric black holes exhibit zero, one, or two photon spheres whose topological charges and stability patterns differ from Einstein gravity and from horizonless compact objects.
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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.
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The Smarr Formula is Gauss's Law: A Kerr-Schild Single-Copy Perspective
The Smarr formula is structurally identical to the single-copy Gauss's law for Kerr-Schild black holes, with the AdS pressure-volume term arising from gauge background subtraction.
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$g_{tt}g_{rr} =-1$ black hole thermodynamics in extended quasi-topological gravity
A unified framework links the generating function for static black holes satisfying g_tt g_rr=-1 in extended quasi-topological gravity to thermodynamic mass and Wald entropy via an effective 2D dilaton theory.
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Holographic Stirling engines and the route to Carnot efficiency
Stirling efficiency reaches Carnot when fixed-volume heat capacity is volume-independent, true for classical gases but not quantum or CFTs; holographic CFTs approach Carnot at large potentials with faster convergence under regeneration.
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Critical phenomenon inside asymptotically flat black holes with spontaneous scalarization
Scalarized black holes in EMS theory lack smooth Cauchy horizons and form Kasner singularities, with a scaling relation between Kasner parameter and charge-to-mass ratio near criticality.
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Gravitational constant as a conserved charge in black hole thermodynamics
Using two scalar-gauge pairs and the off-shell ADT formalism in a modified Einstein-Hilbert theory, the authors derive conserved charges for mass, cosmological constant, and G that yield a consistent extended thermodynamic first law and Smarr formula.
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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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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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Extended symmetry of the Maxwell theory with a gauge coupling constant as a conserved charge
Maxwell theory with auxiliary fields for the coupling constant breaks symmetries that BFT restores, making the original theory a gauge-fixed version of the extended symmetric theory.
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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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The atomic nucleus as a bound system of $3A$ quarks
Nuclei are 3A-quark systems where Fermi gas explains equal u/d quarks in light nuclei, a modified bag model fits heavier ones, and AdS5 duality predicts the lightest glueball's decay and sets the maximum stable nuclear charge at Z=82 for lead.
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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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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.