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Islands in the Fluid: Islands are Common in Cosmology

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arxiv 2211.16600 v1 pith:4M4EL7BX submitted 2022-11-29 hep-th astro-ph.COgr-qc

classification hep-thastro-ph.COgr-qc
keywords islandsfluiduniversesdensitydiscussgeneralhubbleparameter
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abstract

We discuss the possibility of entanglement islands in cosmological spacetimes with a general perfect fluid with an equation of state $w$. We find that flat universes with time-symmetric slices where the Hubble parameter vanishes always have islands on that slice. We then move away from such slices, considering still universes with a general perfect fluid. Under the local thermal equilibrium assumption, the comoving entropy density $s_c$ is constant. As a result, the conditions for an island become an inequality between the energy density (or Hubble parameter) and the temperature at some time of normalization. The consequences are that islands can exist for practically all fluids that are not radiation, i.e. $w\neq 1/3$. We also discuss the ramifications of our results for universes with spatial curvature. Finally, we show that islands occur in the Simple Harmonic Universe model which has no classical singularity at the background level, in contrast to all previous examples where islands occurred only in space-times with singularities.

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Cited by 2 Pith papers

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

  1. New insights on mutual information in the island approach to the Page curve

    hep-th 2026-07 conditional novelty 5.0 of 10

    At scrambling time I(B+:B−)=0 forces I(I:R)→∞, interpreted as conservation of geometric correlation, while I(I:R+:R−) is shown always negative via Cauchy-slice identities.

  2. 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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