How the Schwarzschild–de Sitter horizons remain in thermal equilibrium at vastly different temperatures
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.
Authors
- Valerio Faraoni (ORCID: https://orcid.org/0000-0002-2601-1870)
- Marcello Miranda (ORCID: https://orcid.org/0000-0003-0397-2705)
- Massimiliano Rinaldi (ORCID: https://orcid.org/0000-0003-0325-3911)
Institutions
- Bishop's University (CA)
- University of Trento (IT)
- Istituto Nazionale di Fisica Nucleare, Trento Institute for Fundamental Physics And Applications (IT)
- Istituto Nazionale di Fisica Nucleare, Sezione di Napoli (IT)
- Scuola Superiore Meridionale (IT)
Publication Details
- Journal
- Physical review. D/Physical review. D.
- Published
- 2024-11-25
- DOI
- https://doi.org/10.1103/physrevd.110.104065
- Citations
- 3
- Primary Topic
- Black Holes and Theoretical Physics
- Type
- article
- Field-Weighted Citation Impact
- 1.98
Funders
- Natural Sciences and Engineering Research Council of Canada