Abstract
In this paper, we show that a universe with a dynamical cosmological constant approaching pure de Sitter at timelike infinity enjoys an infinite-dimensional symmetry group at its horizon. This group is larger than the usual of pure de Sitter. The charges associated with the asymptotic symmetry generators are nonintegrable, and we demonstrate that they promote an extended version of the first law of thermodynamics. This contains four pairs of conjugate variables. The pair corresponds to the change in the cosmological constant and its conjugate volume . The contribution of the surface tension of the horizon and its conjugate parameter surface area make a pair . The usual conjugate variables , and a term corresponding to entropy production, are included. In addition, this extended first law describes the nonconservative behaviour of the asymptotic charges in nonequilibrium.
- Received 28 December 2018
DOI:https://doi.org/10.1103/PhysRevD.99.064037
Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP3.
Published by the American Physical Society