Non-minimal Maxwell coupling stabilizes the W=0 Hawking-Page topological class for charged 4D AdS black holes, unlike standard RN-AdS, with W switching from 1 to 0 as Q decreases.
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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.
Simpson-Visser regularization of Schwarzschild-AdS black holes yields a van der Waals-type temperature branch structure with three coexisting equilibria and topological charge W=+1 for regularization parameter below 1/sqrt(24), distinguishing it from the Schwarzschild-AdS case.
Computes Weinhold thermodynamic geometry, rectangular heat engine efficiency, and topological charges for Sharma-Mittal corrected ModMax-dRGT black holes, showing parameter influences on efficiency and critical points.
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Topological Classification of a 4D AdS Black Hole with Non-Minimal Maxwell Coupling
Non-minimal Maxwell coupling stabilizes the W=0 Hawking-Page topological class for charged 4D AdS black holes, unlike standard RN-AdS, with W switching from 1 to 0 as Q decreases.