Non-extensive and quasi-homogeneous geometrothermodynamics


Quevedo H. Quevedo M.N.
February 2026Elsevier B.V.

Nuclear Physics B
2026#1023

We study the thermodynamic properties of black holes, taking into account the non-extensive character of their entropy at the thermodynamic and statistical level. To this end, we assume that the Rényi entropy determines the fundamental thermodynamic equation of black holes and is represented by a quasi-homogeneous function. As a consequence, the Rényi parameter turns out to be an independent thermodynamic variable, which must be treated in the framework of extended thermodynamics. As a particular example, we use the formalism of geometrothermodynamics to show that the Schwarzschild black hole can become stable for certain values of the Rényi parameter. Copyright

Black holes , Extended black hole thermodynamics , Geometrothermodynamics , Non-extensive entropy

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Instituto de Ciencias Nucleares, Universidad Nacional Autónoma de México, Mexico Dipartimento di Fisica and Icra, Università di Roma “La Sapienza”, Roma Italy, Al-Fyarabi Kazakh National University, Almaty, Kazakhstan
Departamento de Matemáticas, Facultad de Ciencias Básicas, Universidad Militar Nueva Granada, Cra 11 No. 101-80, Bogotá D.C., Colombia

Instituto de Ciencias Nucleares
Departamento de Matemáticas

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