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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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.
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.
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.
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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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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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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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.