| Summary: | It has been suggested in recent work that the Page curve of Hawking radiation
can be recovered using computations in semi-classical gravity provided one
allows for "islands" in the gravity region of quantum systems coupled to
gravity. The explicit computations so far have been restricted to black holes
in two-dimensional Jackiw-Teitelboim gravity. In this note, we numerically
construct a five-dimensional asymptotically AdS geometry whose boundary
realizes a four-dimensional Hartle-Hawking state on an eternal AdS black hole
in equilibrium with a bath. We also numerically find two types of extremal
surfaces: ones that correspond to having or not having an island. The version
of the information paradox involving the eternal black hole exists in this
setup, and it is avoided by the presence of islands. Thus, recent computations
exhibiting islands in two-dimensional gravity generalize to higher dimensions
as well.
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