Black hole thermodynamics with dynamical lambda

Gregory, Ruth; Kastor, David; Traschen, Jennie

Abstract

We study evolution and thermodynamics of a slow-roll transition between early and late time de Sitter phases, both in the homogeneous case and in the presence of a black hole, in a scalar field model with a generic potential having both a maximum and a positive minimum. Asymptotically future de Sitter spacetimes are characterized by ADM charges known as cosmological tensions. We show that the late time de Sitter phase has finite cosmological tension when the scalar field oscillation around its minimum is underdamped, while the cosmological tension in the overdamped case diverges. We compute the variation in the cosmological and black hole horizon areas between the early and late time phases, finding that the fractional change in horizon area is proportional to the corresponding fractional change in the effective cosmological constant. We show that the extended first law of thermodynamics, including variation in the effective cosmological constant, is satisfied between the initial and final states, and discuss the dynamical evolution of the black hole temperature.

Citation

Gregory, R., Kastor, D., & Traschen, J. (2017). Black hole thermodynamics with dynamical lambda. Journal of High Energy Physics, 2017(10), Article 118. https://doi.org/10.1007/jhep10%282017%29118

• Journal Article Type: Article
• Acceptance Date: Oct 3, 2017
• Online Publication Date: Oct 18, 2017
• Publication Date: Oct 18, 2017
• Deposit Date: Oct 24, 2017
• Publicly Available Date: Oct 24, 2017
• Journal: Journal of High Energy Physics
• Print ISSN: 1126-6708
• Electronic ISSN: 1029-8479
• Publisher: Scuola Internazionale Superiore di Studi Avanzati (SISSA)
• Peer Reviewed: Peer Reviewed
• Volume: 2017
• Issue: 10
• Article Number: 118
• DOI: https://doi.org/10.1007/jhep10%282017%29118
• Public URL: https://durham-repository.worktribe.com/output/1345755