Islands in de Sitter space
Abstract We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the CFT in a density matrix whose stress tensor backreacts on the de Sitter geometry, lengthening the wormhole behi...
| Main Authors: | , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2021-02-01
|
| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP02(2021)072 |
| _version_ | 1818610150390366208 |
|---|---|
| author | Vijay Balasubramanian Arjun Kar Tomonori Ugajin |
| author_facet | Vijay Balasubramanian Arjun Kar Tomonori Ugajin |
| author_sort | Vijay Balasubramanian |
| collection | DOAJ |
| description | Abstract We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the CFT in a density matrix whose stress tensor backreacts on the de Sitter geometry, lengthening the wormhole behind the black hole horizon. Naively, the entropy of the entangling matter increases without bound as the strength of the entanglement increases, but the monogamy property predicts that this growth must level off. We compute the entropy via the replica trick, including wormholes between the replica copies of the de Sitter geometry, and find a competition between conventional field theory entanglement entropy and the surface area of extremal “islands” in the de Sitter geometry. The black hole and cosmological horizons both play a role in generating such islands in the backreacted geometry, and have the effect of stabilizing the entropy growth as required by monogamy. We first show this in a scenario in which the de Sitter spatial section has been decompactified to an interval. Then we consider the compact geometry, and argue for a novel interpretation of the island formula in the context of closed universes that recovers the Page curve. Finally, we comment on the application of our construction to the cosmological horizon in empty de Sitter space. |
| first_indexed | 2024-12-16T15:09:51Z |
| format | Article |
| id | doaj.art-649b649f13034569b93b590792deca6c |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-16T15:09:51Z |
| publishDate | 2021-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-649b649f13034569b93b590792deca6c2022-12-21T22:27:00ZengSpringerOpenJournal of High Energy Physics1029-84792021-02-012021213210.1007/JHEP02(2021)072Islands in de Sitter spaceVijay Balasubramanian0Arjun Kar1Tomonori Ugajin2David Rittenhouse Laboratory, University of PennsylvaniaDavid Rittenhouse Laboratory, University of PennsylvaniaDavid Rittenhouse Laboratory, University of PennsylvaniaAbstract We consider black holes in 2d de Sitter JT gravity coupled to a CFT, and entangled with matter in a disjoint non-gravitating universe. Tracing out the entangling matter leaves the CFT in a density matrix whose stress tensor backreacts on the de Sitter geometry, lengthening the wormhole behind the black hole horizon. Naively, the entropy of the entangling matter increases without bound as the strength of the entanglement increases, but the monogamy property predicts that this growth must level off. We compute the entropy via the replica trick, including wormholes between the replica copies of the de Sitter geometry, and find a competition between conventional field theory entanglement entropy and the surface area of extremal “islands” in the de Sitter geometry. The black hole and cosmological horizons both play a role in generating such islands in the backreacted geometry, and have the effect of stabilizing the entropy growth as required by monogamy. We first show this in a scenario in which the de Sitter spatial section has been decompactified to an interval. Then we consider the compact geometry, and argue for a novel interpretation of the island formula in the context of closed universes that recovers the Page curve. Finally, we comment on the application of our construction to the cosmological horizon in empty de Sitter space.https://doi.org/10.1007/JHEP02(2021)0722D GravityBlack HolesConformal Field Theory |
| spellingShingle | Vijay Balasubramanian Arjun Kar Tomonori Ugajin Islands in de Sitter space Journal of High Energy Physics 2D Gravity Black Holes Conformal Field Theory |
| title | Islands in de Sitter space |
| title_full | Islands in de Sitter space |
| title_fullStr | Islands in de Sitter space |
| title_full_unstemmed | Islands in de Sitter space |
| title_short | Islands in de Sitter space |
| title_sort | islands in de sitter space |
| topic | 2D Gravity Black Holes Conformal Field Theory |
| url | https://doi.org/10.1007/JHEP02(2021)072 |
| work_keys_str_mv | AT vijaybalasubramanian islandsindesitterspace AT arjunkar islandsindesitterspace AT tomonoriugajin islandsindesitterspace |