Black hole equations are quasi-homogeneous, enabling Legendre-invariant metrics in geometrothermodynamics whose curvature singularities correspond directly to phase transitions identified by heat capacity divergences.
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Topological numbers categorize black hole systems into universality classes based on thermodynamic behavior, with calculations for critical points and phase transitions.
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Quasi-homogeneous black hole geometrothermodynamics in Einstein-Maxwell theory
Black hole equations are quasi-homogeneous, enabling Legendre-invariant metrics in geometrothermodynamics whose curvature singularities correspond directly to phase transitions identified by heat capacity divergences.
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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.
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