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.
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9 Pith papers cite this work. Polarity classification is still indexing.
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2026 9representative citing papers
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.
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.
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.
Generalized Bardeen black holes show two topological defects of opposite winding numbers yielding zero total charge in their thermodynamic vector field, unlike Schwarzschild's single unstable branch, with regularization parameters shaping the phase structure.
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.
Introducing an energy scale in AdS space changes the topological class of black holes, corresponding to confined and deconfined phases separated by a Hawking-Page transition at finite critical temperature.
Deformation parameters α, β, σ in a quintessence AdS black hole shift the temperature minimum, enlarge the cooling region, raise inversion temperature, and alter heat-engine efficiency.
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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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.
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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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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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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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Topological Thermodynamics of Generalized Bardeen Black Hole
Generalized Bardeen black holes show two topological defects of opposite winding numbers yielding zero total charge in their thermodynamic vector field, unlike Schwarzschild's single unstable branch, with regularization parameters shaping the phase structure.
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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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Topological charges and confined-deconfined phase transition in holography
Introducing an energy scale in AdS space changes the topological class of black holes, corresponding to confined and deconfined phases separated by a Hawking-Page transition at finite critical temperature.
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Joule-Thomson effect and Efficiency of deformed AdS-Schwarzschild black hole in presence of quintessence
Deformation parameters α, β, σ in a quintessence AdS black hole shift the temperature minimum, enlarge the cooling region, raise inversion temperature, and alter heat-engine efficiency.
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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.