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.
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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.
Entropy corrections to black holes produce modified metrics whose photon-sphere and shadow sizes can be constrained by Sgr A* observations.
citing papers explorer
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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.
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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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Photon Spheres and shadow of modified black-hole entropies
Entropy corrections to black holes produce modified metrics whose photon-sphere and shadow sizes can be constrained by Sgr A* observations.