Эта публикация цитируется в 1 статье

АСТРОФИЗИКА, ФИЗИКА КОСМОСА, КОСМОЛОГИЯ, ГРАВИТАЦИЯ

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

J. C. M. Hughes, F. V. Kusmartsev

College of Engineering and Physical Sciences, Khalifa University, PO Box 127788, Abu Dhabi, United Arab Emirates

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.

Поступила в редакцию: 25.06.2025
Исправленный вариант: 07.07.2025
Принята в печать: 11.07.2025

Язык публикации: английский

DOI: 10.31857/S0370274X25080136