Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble
Abstract To make a Born–Infeld (BI) black hole thermally stable, we consider two types of boundary conditions, i.e., the asymptotically anti-de Sitter (AdS) space and a Dirichlet wall placed in the asymptotically flat space. The phase structures and transitions of these two types of BI black holes,...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2020-02-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-020-7750-z |
| _version_ | 1818978051772383232 |
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| author | Kangkai Liang Peng Wang Houwen Wu Mingtao Yang |
| author_facet | Kangkai Liang Peng Wang Houwen Wu Mingtao Yang |
| author_sort | Kangkai Liang |
| collection | DOAJ |
| description | Abstract To make a Born–Infeld (BI) black hole thermally stable, we consider two types of boundary conditions, i.e., the asymptotically anti-de Sitter (AdS) space and a Dirichlet wall placed in the asymptotically flat space. The phase structures and transitions of these two types of BI black holes, namely BI-AdS black holes and BI black holes in a cavity, are investigated in a grand canonical ensemble, where the temperature and the potential are fixed. For BI-AdS black holes, the globally stable phases can be the thermal AdS space. For small values of the potential, there is a Hawking-Page-like first order phase transition between the BI-AdS black holes and the thermal-AdS space. However, the phase transition becomes zeroth order when the values of the potential are large enough. For BI black holes in a cavity, the globally stable phases can be a naked singularity or an extremal black hole with the horizon merging with the wall, which both are on the boundaries of the physical parameter region. The thermal flat space is never globally preferred. Besides a first order phase transition, there is a second order phase transition between the globally stable phases. Thus, it shows that the phase structures and transitions of BI black holes with these two different boundary conditions have several dissimilarities. |
| first_indexed | 2024-12-20T16:37:30Z |
| format | Article |
| id | doaj.art-928239ff30c04f1087e4d0c4f0bf9161 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-20T16:37:30Z |
| publishDate | 2020-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-928239ff30c04f1087e4d0c4f0bf91612022-12-21T19:33:07ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522020-02-0180311410.1140/epjc/s10052-020-7750-zPhase structures and transitions of Born–Infeld black holes in a grand canonical ensembleKangkai Liang0Peng Wang1Houwen Wu2Mingtao Yang3Center for Theoretical Physics, College of Physical Science and Technology, Sichuan UniversityCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan UniversityCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan UniversityCenter for Theoretical Physics, College of Physical Science and Technology, Sichuan UniversityAbstract To make a Born–Infeld (BI) black hole thermally stable, we consider two types of boundary conditions, i.e., the asymptotically anti-de Sitter (AdS) space and a Dirichlet wall placed in the asymptotically flat space. The phase structures and transitions of these two types of BI black holes, namely BI-AdS black holes and BI black holes in a cavity, are investigated in a grand canonical ensemble, where the temperature and the potential are fixed. For BI-AdS black holes, the globally stable phases can be the thermal AdS space. For small values of the potential, there is a Hawking-Page-like first order phase transition between the BI-AdS black holes and the thermal-AdS space. However, the phase transition becomes zeroth order when the values of the potential are large enough. For BI black holes in a cavity, the globally stable phases can be a naked singularity or an extremal black hole with the horizon merging with the wall, which both are on the boundaries of the physical parameter region. The thermal flat space is never globally preferred. Besides a first order phase transition, there is a second order phase transition between the globally stable phases. Thus, it shows that the phase structures and transitions of BI black holes with these two different boundary conditions have several dissimilarities.http://link.springer.com/article/10.1140/epjc/s10052-020-7750-z |
| spellingShingle | Kangkai Liang Peng Wang Houwen Wu Mingtao Yang Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble European Physical Journal C: Particles and Fields |
| title | Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble |
| title_full | Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble |
| title_fullStr | Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble |
| title_full_unstemmed | Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble |
| title_short | Phase structures and transitions of Born–Infeld black holes in a grand canonical ensemble |
| title_sort | phase structures and transitions of born infeld black holes in a grand canonical ensemble |
| url | http://link.springer.com/article/10.1140/epjc/s10052-020-7750-z |
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