- PII
- S30345766S0370274X25080136-1
- DOI
- 10.7868/S3034576625080136
- Publication type
- Article
- Status
- Published
- Authors
- Volume/ Edition
- Volume 122 / Issue number 3-4
- Pages
- 199-200
- Abstract
- This paper establishes a connection between the Hawking temperature of spacetime horizons and global topological invariants, specifically the Euler characteristic of Wick-rotated Euclidean spacetimes. This is demonstrated for both de Sitter and Schwarzschild, where the compactification of the near-horizon geometry allows for a direct application of the Chern–Gauss–Bonnet theorem. For de Sitter, a simple argument connects the Gibbon–Hawking temperature of the Bunch–Davies state to the global thermal de Sitter temperature. This establishes that spacetime thermodynamics are a consequence of the geometrical structure of spacetime itself, therefore suggesting a deep connection between global topology and semi-classical analysis.
- Keywords
- Date of publication
- 11.07.2025
- Year of publication
- 2025
- Number of purchasers
- 0
- Views
- 58
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