Entanglement islands in higher dimensions
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 restricte...
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| Format: | Article |
| Language: | English |
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SciPost
2020-07-01
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| Series: | SciPost Physics |
| Online Access: | https://scipost.org/SciPostPhys.9.1.001 |
| _version_ | 1818996211890257920 |
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| author | Ahmed Almheiri, Raghu Mahajan, Jorge E. Santos |
| author_facet | Ahmed Almheiri, Raghu Mahajan, Jorge E. Santos |
| author_sort | Ahmed Almheiri, Raghu Mahajan, Jorge E. Santos |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-20T21:26:08Z |
| format | Article |
| id | doaj.art-7bc136b6e7344245bef7b83d3acc6d68 |
| institution | Directory Open Access Journal |
| issn | 2542-4653 |
| language | English |
| last_indexed | 2024-12-20T21:26:08Z |
| publishDate | 2020-07-01 |
| publisher | SciPost |
| record_format | Article |
| series | SciPost Physics |
| spelling | doaj.art-7bc136b6e7344245bef7b83d3acc6d682022-12-21T19:26:09ZengSciPostSciPost Physics2542-46532020-07-019100110.21468/SciPostPhys.9.1.001Entanglement islands in higher dimensionsAhmed Almheiri, Raghu Mahajan, Jorge E. SantosIt 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.https://scipost.org/SciPostPhys.9.1.001 |
| spellingShingle | Ahmed Almheiri, Raghu Mahajan, Jorge E. Santos Entanglement islands in higher dimensions SciPost Physics |
| title | Entanglement islands in higher dimensions |
| title_full | Entanglement islands in higher dimensions |
| title_fullStr | Entanglement islands in higher dimensions |
| title_full_unstemmed | Entanglement islands in higher dimensions |
| title_short | Entanglement islands in higher dimensions |
| title_sort | entanglement islands in higher dimensions |
| url | https://scipost.org/SciPostPhys.9.1.001 |
| work_keys_str_mv | AT ahmedalmheiriraghumahajanjorgeesantos entanglementislandsinhigherdimensions |