Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship
Fuente:
arXiv
Enregistré dans:
| Auteurs principaux: | , |
|---|---|
| Format: | Preprint |
| Publié: |
2025
|
| Sujets: | |
| Accès en ligne: | |
| Tags: |
Ajouter un tag
Pas de tags, Soyez le premier à ajouter un tag!
|
| _version_ | 1866908334438744064 |
|---|---|
| author | Czinner, Viktor G. Iguchi, Hideo |
| author_facet | Czinner, Viktor G. Iguchi, Hideo |
| contents | Explicit example, where the Hawking temperature of a black hole horizon is compatible with the black hole's Rényi entropy thermodynamic description, is constructed. It is shown that for every static, spherically symmetric, vacuum black hole space-time, a corresponding black hole solution can be derived, where the Hawking temperature is identical with the Rényi temperature, i.e. the one obtained from the Rényi entropy of the black hole via the 1st law of thermodynamics. In order to have this Hawking-Rényi type thermodynamic property, the black holes must be surrounded by an anisotropic fluid in the form of a Kiselev metric, where the properties of the fluid are uniquely determined by the mass of the black hole, $M$, and the Rényi parameter, λ. In the simplest Schwarzschild scenario, the system is found to be thermodynamically unstable, and the 3rd law of thermodynamics seems to play the role of a cosmic censor via placing an upper bound on the black hole's mass, by which preventing the black hole from loosing its horizon(s). |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2504_16705 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship Czinner, Viktor G. Iguchi, Hideo General Relativity and Quantum Cosmology Statistical Mechanics High Energy Physics - Phenomenology High Energy Physics - Theory Explicit example, where the Hawking temperature of a black hole horizon is compatible with the black hole's Rényi entropy thermodynamic description, is constructed. It is shown that for every static, spherically symmetric, vacuum black hole space-time, a corresponding black hole solution can be derived, where the Hawking temperature is identical with the Rényi temperature, i.e. the one obtained from the Rényi entropy of the black hole via the 1st law of thermodynamics. In order to have this Hawking-Rényi type thermodynamic property, the black holes must be surrounded by an anisotropic fluid in the form of a Kiselev metric, where the properties of the fluid are uniquely determined by the mass of the black hole, $M$, and the Rényi parameter, λ. In the simplest Schwarzschild scenario, the system is found to be thermodynamically unstable, and the 3rd law of thermodynamics seems to play the role of a cosmic censor via placing an upper bound on the black hole's mass, by which preventing the black hole from loosing its horizon(s). |
| title | Hawking-Rényi black hole thermodynamics, Kiselev solution, and cosmic censorship |
| topic | General Relativity and Quantum Cosmology Statistical Mechanics High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2504.16705 |