How the Schwarzschild-de Sitter horizons remain in thermal equilibrium at vastly different temperatures
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arXiv
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| Autores principales: | , , |
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| Formato: | Preprint |
| Publicado: |
2024
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| _version_ | 1866929605190877184 |
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| author | Miranda, Marcello Rinaldi, Massimiliano Faraoni, Valerio |
| author_facet | Miranda, Marcello Rinaldi, Massimiliano Faraoni, Valerio |
| contents | The Tolman-Ehrenfest criterion of thermal equilibrium for a static fluid in a static spacetime is generalized to stationary heat conduction, in the approximation in which backreaction is negligible. Applying this generalized criterion to the Hawking radiation in the Schwarzschild-de Sitter geometry shows that the two horizons (which act as thermostats) remain in thermal equilibrium. The temperature of the radiation fluid interpolates between the temperatures at the horizons, with a static analytic profile that is given explicitly. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_12861 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | How the Schwarzschild-de Sitter horizons remain in thermal equilibrium at vastly different temperatures Miranda, Marcello Rinaldi, Massimiliano Faraoni, Valerio General Relativity and Quantum Cosmology The Tolman-Ehrenfest criterion of thermal equilibrium for a static fluid in a static spacetime is generalized to stationary heat conduction, in the approximation in which backreaction is negligible. Applying this generalized criterion to the Hawking radiation in the Schwarzschild-de Sitter geometry shows that the two horizons (which act as thermostats) remain in thermal equilibrium. The temperature of the radiation fluid interpolates between the temperatures at the horizons, with a static analytic profile that is given explicitly. |
| title | How the Schwarzschild-de Sitter horizons remain in thermal equilibrium at vastly different temperatures |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2409.12861 |