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.
An exact dyonic black hole metric is derived in Lorentz-violating gravity with background Kalb-Ramond field and nonminimal EM coupling; geodesics and extended thermodynamics are analyzed showing parameter-dependent shadows and first-order phase transitions.
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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Dyonic Black Holes in Lorentz-Violating Gravity with a Background Kalb--Ramond Field
An exact dyonic black hole metric is derived in Lorentz-violating gravity with background Kalb-Ramond field and nonminimal EM coupling; geodesics and extended thermodynamics are analyzed showing parameter-dependent shadows and first-order phase transitions.