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Islands in cosmology

TLDR
In this article, conditions for islands to appear in general spacetimes, with or without black holes, were studied, and the boundary of an island must satisfy several other information-theoretic inequalities.
Abstract
A quantum extremal island suggests that a region of spacetime is encoded in the quantum state of another system, like the encoding of the black hole interior in Hawking radiation. We study conditions for islands to appear in general spacetimes, with or without black holes. They must violate Bekenstein's area bound in a precise sense, and the boundary of an island must satisfy several other information-theoretic inequalities. These conditions combine to impose very strong restrictions, which we apply to cosmological models. We find several examples of islands in crunching universes. In particular, in the four-dimensional FRW cosmology with radiation and a negative cosmological constant, there is an island near the turning point when the geometry begins to recollapse. In a two-dimensional model of JT gravity in de Sitter spacetime, there are islands inside crunches that are encoded at future infinity or inside bubbles of Minkowski spacetime. Finally, we discuss simple tensor network toy models for islands in cosmology and black holes.

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Quantum extremal islands made easy. Part II. Black holes on the brane

TL;DR: In this paper, the authors discuss holographic models of extremal and non-extremal black holes in contact with a bath in d dimensions, based on a brane world model introduced in [1].
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Islands in de Sitter space

TL;DR: In this paper, the authors consider a 2D de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe.
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Entanglement Entropy in a Holographic Moving Mirror and the Page Curve.

TL;DR: It is argued that the holographic setup provides a concrete model to derive the Page curve for black hole radiation in the strong coupling regime of gravity.
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Islands and Page curves of Reissner-Nordström black holes

TL;DR: In this article, the authors apply the quantum extremal surface construction to calculate the Page curve of the eternal Reissner-Nordstrom black holes in four dimensions ignoring the backreaction and the greybody factor.
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Replica wormholes for an evaporating 2D black hole

TL;DR: In this paper, replica wormholes for black holes formed by gravitational collapse in the Jackiw-Teitelboim gravity have been analyzed, and it has been shown that they lead to the island rule for the entropy.
References
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Journal ArticleDOI

Holographic Derivation of Entanglement Entropy from the anti de Sitter Space/Conformal Field Theory Correspondence

TL;DR: It is argued that the entanglement entropy in d + 1 dimensional conformal field theories can be obtained from the area of d dimensional minimal surfaces in AdS(d+2), analogous to the Bekenstein-Hawking formula for black hole entropy.
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Entanglement entropy and quantum field theory

TL;DR: In this article, a systematic study of entanglement entropy in relativistic quantum field theory is carried out, where the von Neumann entropy is defined as the reduced density matrix ρA of a subsystem A of a 1+1-dimensional critical system, whose continuum limit is a conformal field theory with central charge c, and the results are verified for a free massive field theory.
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A covariant holographic entanglement entropy proposal

TL;DR: In this paper, a covariant generalization of the holographic entanglement entropy proposal of hep-th/0603001 is proposed to understand the time-dependence of entropy in generic quantum field theories.
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The Holographic principle

TL;DR: The holographic principle as mentioned in this paper asserts that the fundamental degrees of freedom involved in a unified description of spacetime and matter must be manifest in an underlying quantum theory of gravity, and it has yet to be explained.
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Black holes and the butterfly effect

TL;DR: In this article, the authors used holography to study sensitive dependence on initial conditions in strongly coupled field theories and showed that the effect of the early infalling quanta relative to the t = 0 slice creates a shock wave that destroys the local two-sided correlations present in the unperturbed state.
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