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Islands in Proliferating de Sitter Spaces

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arxiv 2212.14753 v3 pith:JZM4TUIL submitted 2022-12-30 hep-th gr-qc

classification hep-thgr-qc
keywords blacksitterholesmultipletemperaturegravityislandislands
verification ladder T0 review T1 audit T2 compute T3 formal
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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.

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Cited by 1 Pith paper

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Phase transition in a doubly holographic model of closed $\mathbf{dS_{2} }$ spacetime

    hep-th 2025-02 reject novelty 5.0 of 10

    A doubly holographic dS2 model has a third extremal surface whose dominance creates a phase transition, but the surface's geodesic length can be negative.

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