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Thermodynamic Topology of Einstein-Gauss-Bonnet Black Holes under Non-Extensive Entropy

This concept examines how the phase behavior of Einstein-Gauss-Bonnet anti-de Sitter black holes, viewed in a conformal-field-theory framework, changes when their entropy is replaced by non-extensive generalized forms such as Renyi and Sharma-Mittal. Students learn to classify black-hole phase transitions by topological charge and winding number, and to trace how tunable entropy parameters shift the number and sign of these charges and the order of the phase transition.

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Topological Insights into Black Hole Thermodynamics: Non-Extensive Entropy in CFT framework

This paper studies the thermodynamic topology of five-dimensional Einstein-Gauss-Bonnet anti-de Sitter black holes, analyzed through the AdS/CFT correspondence, when the ordinary black-hole entropy i…