Quantum extremal islands made easy. Part IV. Massive black holes on the brane
Abstract We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [1–3]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to fin...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2022-03-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/JHEP03(2022)136 |
| _version_ | 1811335537180540928 |
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| author | Guglielmo Grimaldi Juan Hernandez Robert C. Myers |
| author_facet | Guglielmo Grimaldi Juan Hernandez Robert C. Myers |
| author_sort | Guglielmo Grimaldi |
| collection | DOAJ |
| description | Abstract We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [1–3]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to finding different geodesics in the bulk BTZ geometry with a Randall-Sundrum brane falling into the black hole. We also explore the possibility of including an intrinsic JT gravity action on the brane. As expected, the generalized entropy rises linearly at early times. However, there is a transition to a late-time phase in which the entropy remains constant. The value of the late-time entropy depends on the size of the thermal baths. For a small size, it corresponds to the thermal entropy of the baths, while for large size, it corresponds to twice the horizon entropy of the black hole. The critical size and the Page time are proportional to ratio of the central charges of the conformal defect and the bath CFT. |
| first_indexed | 2024-04-13T17:25:39Z |
| format | Article |
| id | doaj.art-116362c00bf9402c84bc33ce0d822477 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-13T17:25:39Z |
| publishDate | 2022-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-116362c00bf9402c84bc33ce0d8224772022-12-22T02:37:48ZengSpringerOpenJournal of High Energy Physics1029-84792022-03-012022314710.1007/JHEP03(2022)136Quantum extremal islands made easy. Part IV. Massive black holes on the braneGuglielmo Grimaldi0Juan Hernandez1Robert C. Myers2Perimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsPerimeter Institute for Theoretical PhysicsAbstract We study two-dimensional eternal black holes with non-zero mass, where each asymptotic boundary is in contact with a CFT on a circle, following the doubly holographic braneworld models constructed in [1–3]. We compute the Page curve of the black hole (or the bath CFTs), which amounts to finding different geodesics in the bulk BTZ geometry with a Randall-Sundrum brane falling into the black hole. We also explore the possibility of including an intrinsic JT gravity action on the brane. As expected, the generalized entropy rises linearly at early times. However, there is a transition to a late-time phase in which the entropy remains constant. The value of the late-time entropy depends on the size of the thermal baths. For a small size, it corresponds to the thermal entropy of the baths, while for large size, it corresponds to twice the horizon entropy of the black hole. The critical size and the Page time are proportional to ratio of the central charges of the conformal defect and the bath CFT.https://doi.org/10.1007/JHEP03(2022)136AdS-CFT CorrespondenceBlack HolesGauge-Gravity Correspondence |
| spellingShingle | Guglielmo Grimaldi Juan Hernandez Robert C. Myers Quantum extremal islands made easy. Part IV. Massive black holes on the brane Journal of High Energy Physics AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence |
| title | Quantum extremal islands made easy. Part IV. Massive black holes on the brane |
| title_full | Quantum extremal islands made easy. Part IV. Massive black holes on the brane |
| title_fullStr | Quantum extremal islands made easy. Part IV. Massive black holes on the brane |
| title_full_unstemmed | Quantum extremal islands made easy. Part IV. Massive black holes on the brane |
| title_short | Quantum extremal islands made easy. Part IV. Massive black holes on the brane |
| title_sort | quantum extremal islands made easy part iv massive black holes on the brane |
| topic | AdS-CFT Correspondence Black Holes Gauge-Gravity Correspondence |
| url | https://doi.org/10.1007/JHEP03(2022)136 |
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