en
Scientific article
Open access
English

The minus sign in the first law of de Sitter horizons

Published inThe journal of high energy physics, vol. 2023, 54
Publication date2023-01-12
First online date2023-01-12
Abstract

Due to a well-known, but curious, minus sign in the Gibbons-Hawking first law for the static patch of de Sitter space, the entropy of the cosmological horizon is reduced by the addition of Killing energy. This minus sign raises the puzzling question how the thermodynamics of the static patch should be understood. We argue the confusion arises because of a mistaken interpretation of the matter Killing energy as the total internal energy, and resolve the puzzle by introducing a system boundary at which a proper thermodynamic ensemble can be specified. When this boundary shrinks to zero size the total internal energy of the ensemble (the Brown-York energy) vanishes, as does its variation. Part of this vanishing variation is thermalized, captured by the horizon entropy variation, and part is the matter contribution, which may or may not be thermalized. If the matter is in global equilibrium at the de Sitter temperature, the first law becomes the statement that the generalized entropy is stationary.

eng
Citation (ISO format)
BANIHASHEMI, Batoul et al. The minus sign in the first law of de Sitter horizons. In: The journal of high energy physics, 2023, vol. 2023, p. 54. doi: 10.1007/JHEP01(2023)054
Main files (1)
Article (Published version)
Identifiers
ISSN of the journal1029-8479
12views
2downloads

Technical informations

Creation04/11/2024 9:46:20 AM
First validation05/22/2024 1:38:36 PM
Update time05/22/2024 1:38:36 PM
Status update05/22/2024 1:38:36 PM
Last indexation05/22/2024 1:38:57 PM
All rights reserved by Archive ouverte UNIGE and the University of GenevaunigeBlack