Effective metric description of 2+1 dimensional quantum black holes
Abstract We develop an effective metric description of 2+1 dimensional black holes describing deviations from the classical Ban̈ados–Teitelboim–Zanelli (BTZ) black hole. The latter is a classical 2+1 dimensional rotating black hole with constant negative curvature. The effective metric is constraine...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-06-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14286-8 |
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| author | Mattia Damia Paciarini Stefan Hohenegger Mikołaj Myszkowski Francesco Sannino |
| author_facet | Mattia Damia Paciarini Stefan Hohenegger Mikołaj Myszkowski Francesco Sannino |
| author_sort | Mattia Damia Paciarini |
| collection | DOAJ |
| description | Abstract We develop an effective metric description of 2+1 dimensional black holes describing deviations from the classical Ban̈ados–Teitelboim–Zanelli (BTZ) black hole. The latter is a classical 2+1 dimensional rotating black hole with constant negative curvature. The effective metric is constrained by imposing the black hole symmetries and asymptotic classical behavior. The deformed metric is parametrized in terms of a physical quantity that we choose to be a physical distance. The latter can be solved for in three main regions of interest, the one around the horizon, origin, and spatial infinity. The finiteness of physical quantities at the horizon, such as the Ricci and Kretschmann scalars, leads to universal constraints on the physical parameters of the metric around the horizon. This allows us to further derive the general form of the corrected Hawking temperature in terms of the physical parameters of the effective metric. Assuming that the approach can be generalized to the interior of the black hole, we further develop an effective metric description near the origin. To illustrate the approach, we show how to recast the information encoded in a specific model of quantum BTZ known as quBTZ black hole in terms of the effective metric coefficients. |
| format | Article |
| id | doaj-art-e37217aeb731499a8ffe758fd4ecb30d |
| institution | OA Journals |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-06-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-e37217aeb731499a8ffe758fd4ecb30d2025-08-20T02:05:39ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-06-0185611110.1140/epjc/s10052-025-14286-8Effective metric description of 2+1 dimensional quantum black holesMattia Damia Paciarini0Stefan Hohenegger1Mikołaj Myszkowski2Francesco Sannino3Quantum Theory Center (ℏQTC) & D-IAS, IMADA, Southern Denmark UniversityUniversité Claude Bernard Lyon 1, CNRS/IN2P3, IP2I LyonQuantum Theory Center (ℏQTC) & D-IAS, IMADA, Southern Denmark UniversityQuantum Theory Center (ℏQTC) & D-IAS, IMADA, Southern Denmark UniversityAbstract We develop an effective metric description of 2+1 dimensional black holes describing deviations from the classical Ban̈ados–Teitelboim–Zanelli (BTZ) black hole. The latter is a classical 2+1 dimensional rotating black hole with constant negative curvature. The effective metric is constrained by imposing the black hole symmetries and asymptotic classical behavior. The deformed metric is parametrized in terms of a physical quantity that we choose to be a physical distance. The latter can be solved for in three main regions of interest, the one around the horizon, origin, and spatial infinity. The finiteness of physical quantities at the horizon, such as the Ricci and Kretschmann scalars, leads to universal constraints on the physical parameters of the metric around the horizon. This allows us to further derive the general form of the corrected Hawking temperature in terms of the physical parameters of the effective metric. Assuming that the approach can be generalized to the interior of the black hole, we further develop an effective metric description near the origin. To illustrate the approach, we show how to recast the information encoded in a specific model of quantum BTZ known as quBTZ black hole in terms of the effective metric coefficients.https://doi.org/10.1140/epjc/s10052-025-14286-8 |
| spellingShingle | Mattia Damia Paciarini Stefan Hohenegger Mikołaj Myszkowski Francesco Sannino Effective metric description of 2+1 dimensional quantum black holes European Physical Journal C: Particles and Fields |
| title | Effective metric description of 2+1 dimensional quantum black holes |
| title_full | Effective metric description of 2+1 dimensional quantum black holes |
| title_fullStr | Effective metric description of 2+1 dimensional quantum black holes |
| title_full_unstemmed | Effective metric description of 2+1 dimensional quantum black holes |
| title_short | Effective metric description of 2+1 dimensional quantum black holes |
| title_sort | effective metric description of 2 1 dimensional quantum black holes |
| url | https://doi.org/10.1140/epjc/s10052-025-14286-8 |
| work_keys_str_mv | AT mattiadamiapaciarini effectivemetricdescriptionof21dimensionalquantumblackholes AT stefanhohenegger effectivemetricdescriptionof21dimensionalquantumblackholes AT mikołajmyszkowski effectivemetricdescriptionof21dimensionalquantumblackholes AT francescosannino effectivemetricdescriptionof21dimensionalquantumblackholes |