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Entanglement islands in higher dimensions
by Ahmed Almheiri, Raghu Mahajan, Jorge E. Santos
This Submission thread is now published as
Submission summary
| Authors (as registered SciPost users): | Raghu Mahajan |
| Submission information | |
|---|---|
| Preprint Link: | https://arxiv.org/abs/1911.09666v3 (pdf) |
| Date accepted: | 2020-06-11 |
| Date submitted: | 2020-05-27 02:00 |
| Submitted by: | Mahajan, Raghu |
| Submitted to: | SciPost Physics |
| Ontological classification | |
|---|---|
| Academic field: | Physics |
| Specialties: |
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| Approaches: | Theoretical, Computational |
Abstract
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.
Author comments upon resubmission
List of changes
1) We have added discussion about the fundamental microscopic description of the system under study, and the two gravitational avatars. This discussion is on the top of page 5.
2) We have also added some comparison to Penington's work and comments on greybody factors. This is in the new section 4.3
Published as SciPost Phys. 9, 001 (2020)