Islands in Proliferating de Sitter Spaces

Abstract

We study two-dimensional de Sitter universe which evolves and proliferates according to the Ginsparg-Perry-Bousso-Hawking mechanism, using Jackiw-Teitelboim gravity coupled to conformal matter. Black holes are generated by quantum gravity effects from pure de Sitter space and then evaporate to yield multiple disjoint de Sitter spaces. The back-reaction from the matter CFT is taken into account for the dilaton as a function of the temperature of the CFT. We discuss the evaporation of black holes and calculate the finite temperature entropy of an inflating region using the island formula. We find that the island moves towards the apparent horizon of the black hole as the temperature increases. The results are applied to the case of multiple evaporating black holes, for which we suggest multiple islands.

26+1 pages, 6 figures, v2: clarified discussion, v3: published version

References in corpus (5)

• Quasi-local energy and microcanonical entropy in two-dimensional nearly de Sitter gravity
• Entanglement in De Sitter Space
• Cosmological and black hole islands in multi-event horizon spacetimes
• An Outsider's Perspective on Information Recovery in de Sitter Space
• Encoding beyond cosmological horizons in de Sitter JT gravity

Cited by in corpus (3)

• Island formula in Planck brane
• JT Gravity in de Sitter Space and the Problem of Time
• Implication of island for inflation and primordial perturbations