ОФНПисьма в Журнал экспериментальной и теоретической физики JETP Letters (Journal of Experimental and Theoretical Physics Letters)

  • ISSN (Print) 0370-274X
  • ISSN (Online) 3034-5766

Topological origin of horizon temperature via the Chern–Gauss–Bonnet theorem

Код статьи
S30345766S0370274X25080136-1
DOI
10.7868/S3034576625080136
Тип публикации
Статья
Статус публикации
Опубликовано
Авторы
Том/ Выпуск
Том 122 / Номер выпуска 3-4
Страницы
199-200
Аннотация
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.
Ключевые слова
Дата публикации
11.07.2025
Год выхода
2025
Всего подписок
0
Всего просмотров
53

Библиография

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