Looking at extremal black holes from very far away
Abstract Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its exterior. It is desirable to understand and reproduce such...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2025)020 |
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| author | Maciej Kolanowski Donald Marolf Ilija Rakic Mukund Rangamani Gustavo J. Turiaci |
| author_facet | Maciej Kolanowski Donald Marolf Ilija Rakic Mukund Rangamani Gustavo J. Turiaci |
| author_sort | Maciej Kolanowski |
| collection | DOAJ |
| description | Abstract Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its exterior. It is desirable to understand and reproduce such corrections from the full higher-dimensional asymptotically flat or AdS geometry’s perspective. We address this question in this article and fill this gap. Specifically, we find off-shell eigenmodes of the quadratic fluctuation operator of the Euclidean gravitational dynamics, with eigenvalues that vanish linearly with temperature. We illustrate this for BTZ and neutral black holes with hyperbolic horizons in AdS in Einstein-Hilbert theory, and for the charged black holes in Einstein-Maxwell theory. The linear scaling with Matsubara frequency, which is a distinctive feature of the modes, together with the fact that their wavefunctions localize close to the horizon as we approach extremality, identifies them as responsible for the aforementioned quantum effects. We provide a contour prescription to deal with the sign indefiniteness of the Euclidean Einstein-Maxwell action, which we derive to aid our analysis. We also resolve a technical puzzle regarding modes associated with rotational isometries in stationary black hole spacetimes. |
| format | Article |
| id | doaj-art-3334879d60c64d4fb133e8de6f2734ef |
| institution | OA Journals |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-04-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-3334879d60c64d4fb133e8de6f2734ef2025-08-20T01:49:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-04-012025415510.1007/JHEP04(2025)020Looking at extremal black holes from very far awayMaciej Kolanowski0Donald Marolf1Ilija Rakic2Mukund Rangamani3Gustavo J. Turiaci4Department of Physics, University of CaliforniaDepartment of Physics, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of CaliforniaCenter for Quantum Mathematics and Physics (QMAP), Department of Physics & Astronomy, University of CaliforniaPhysics Department, University of WashingtonAbstract Near-extremal black holes are subject to large quantum effects, which modify their low-temperature thermodynamic behavior. Hitherto, these quantum effects were analyzed by separating the geometry into the near-horizon region and its exterior. It is desirable to understand and reproduce such corrections from the full higher-dimensional asymptotically flat or AdS geometry’s perspective. We address this question in this article and fill this gap. Specifically, we find off-shell eigenmodes of the quadratic fluctuation operator of the Euclidean gravitational dynamics, with eigenvalues that vanish linearly with temperature. We illustrate this for BTZ and neutral black holes with hyperbolic horizons in AdS in Einstein-Hilbert theory, and for the charged black holes in Einstein-Maxwell theory. The linear scaling with Matsubara frequency, which is a distinctive feature of the modes, together with the fact that their wavefunctions localize close to the horizon as we approach extremality, identifies them as responsible for the aforementioned quantum effects. We provide a contour prescription to deal with the sign indefiniteness of the Euclidean Einstein-Maxwell action, which we derive to aid our analysis. We also resolve a technical puzzle regarding modes associated with rotational isometries in stationary black hole spacetimes.https://doi.org/10.1007/JHEP04(2025)020AdS-CFT CorrespondenceBlack HolesModels of Quantum Gravity |
| spellingShingle | Maciej Kolanowski Donald Marolf Ilija Rakic Mukund Rangamani Gustavo J. Turiaci Looking at extremal black holes from very far away Journal of High Energy Physics AdS-CFT Correspondence Black Holes Models of Quantum Gravity |
| title | Looking at extremal black holes from very far away |
| title_full | Looking at extremal black holes from very far away |
| title_fullStr | Looking at extremal black holes from very far away |
| title_full_unstemmed | Looking at extremal black holes from very far away |
| title_short | Looking at extremal black holes from very far away |
| title_sort | looking at extremal black holes from very far away |
| topic | AdS-CFT Correspondence Black Holes Models of Quantum Gravity |
| url | https://doi.org/10.1007/JHEP04(2025)020 |
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