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… Click to show full 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. ar X iv :2 20 2. 05 27 8v 1 [ he pth ] 1 0 Fe b 20 22
               
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