Non-extensive and quasi-homogeneous geometrothermodynamics
Fuente:
arXiv
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| Autori principali: | , |
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| Natura: | Preprint |
| Pubblicazione: |
2025
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| _version_ | 1866908593198989312 |
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| author | Quevedo, Hernando Quevedo, María N. |
| author_facet | Quevedo, Hernando Quevedo, María N. |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2506_21342 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Non-extensive and quasi-homogeneous geometrothermodynamics Quevedo, Hernando Quevedo, María N. General Relativity and Quantum Cosmology 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. |
| title | Non-extensive and quasi-homogeneous geometrothermodynamics |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2506.21342 |