2022
DOI: 10.48550/arxiv.2202.05278
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Islands in Closed and Open Universes

Raphael Bousso,
Elizabeth Wildenhain

Abstract: We show that spatial curvature has a significant effect on the existence of entanglement islands in cosmology. We consider a homogeneous, isotropic universe with thermal radiation purified by a reference spacetime. Arbitrarily small positive curvature guarantees that the entire universe is an island. Proper subsets of the timesymmetric slice of a closed or open universe can be islands, but only if the cosmological constant is negative and sufficiently large in magnitude.

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Cited by 3 publications
(3 citation statements)
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“…Although the island formula is derived from Jackiw-Teitelboim (JT) black holes, its application is beyond the context of Anti-de Sitter (AdS) spacetime. It can be applied to other spacetime backgrounds, such as the other AdS 2 black hole [10][11][12][13][14][15][16][17], the two-dimensional (2D) dilaton gravity [18][19][20][21][22][23][24], the higher-dimensional spacetime [25][26][27][28][29][30][31][32][33][34], the cosmology [35][36][37][38][39][40][41][42], the boundary conformal field theory (BCFT) [43][44][45][46][47][48][49]. Interestingly, there are also some related works for the Sachdev-Ye-Kitaev (SYK) model [50][51][52][53][54][55].…”
Section: Introductionmentioning
confidence: 99%
“…Although the island formula is derived from Jackiw-Teitelboim (JT) black holes, its application is beyond the context of Anti-de Sitter (AdS) spacetime. It can be applied to other spacetime backgrounds, such as the other AdS 2 black hole [10][11][12][13][14][15][16][17], the two-dimensional (2D) dilaton gravity [18][19][20][21][22][23][24], the higher-dimensional spacetime [25][26][27][28][29][30][31][32][33][34], the cosmology [35][36][37][38][39][40][41][42], the boundary conformal field theory (BCFT) [43][44][45][46][47][48][49]. Interestingly, there are also some related works for the Sachdev-Ye-Kitaev (SYK) model [50][51][52][53][54][55].…”
Section: Introductionmentioning
confidence: 99%
“…Recently there have been several investigations regarding the island proposal in cosmological setups (see for example [18,19,20,21,22,23,24]). Amongst them some have focused on the experience of the static observer in pure de Sitter background.…”
Section: Introductionmentioning
confidence: 99%
“…This remarkable progress in black hole physics motivates the application of the 'island rule' to other quantum gravity systems. Among possible backgrounds composing the quantum gravity system, de Sitter (dS) space has drawn considerable interest [11][12][13][14][15][16][17][18][19][20][21] since an observer in dS space can access the finite portion of spacetime surrounded by the event horizon only. The observer cannot receive signals from the region beyond the horizon due to the accelerating expansion, which leads to the production of thermal radiation near the horizon [22].…”
Section: Introductionmentioning
confidence: 99%