Black holes in vector-tensor theories and their thermodynamics
Abstract In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca theory extended with a quartic self-interaction term f...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2018-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-018-5540-7 |
| _version_ | 1819241837016121344 |
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| author | Zhong-Ying Fan |
| author_facet | Zhong-Ying Fan |
| author_sort | Zhong-Ying Fan |
| collection | DOAJ |
| description | Abstract In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca theory extended with a quartic self-interaction term for the vector field. We obtain its general static maximally symmetric black hole solution and study the thermodynamics using Wald formalism. The aspects of the solution are much like a Reissner-Nordstrøm black hole in spite of that a global charge cannot be defined for the vector. For non-minimal theories, we obtain a lot of exact black hole solutions, depending on the parameters of the theories. In particular, many of the solutions are general static and have maximal symmetry. However, there are some subtleties and ambiguities in the derivation of the first laws because the existence of an algebraic degree of freedom of the vector in general invalids the Wald entropy formula. The thermodynamics of these solutions deserves further studies. |
| first_indexed | 2024-12-23T14:30:15Z |
| format | Article |
| id | doaj.art-619bdcada1514bbbbaaaf7a3d7880287 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-23T14:30:15Z |
| publishDate | 2018-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-619bdcada1514bbbbaaaf7a3d78802872022-12-21T17:43:32ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522018-01-0178111710.1140/epjc/s10052-018-5540-7Black holes in vector-tensor theories and their thermodynamicsZhong-Ying Fan0Center for Astrophysics, School of Physics and Electronic Engineering, Guangzhou UniversityAbstract In this paper, we study Einstein gravity either minimally or non-minimally coupled to a vector field which breaks the gauge symmetry explicitly in general dimensions. We first consider a minimal theory which is simply the Einstein-Proca theory extended with a quartic self-interaction term for the vector field. We obtain its general static maximally symmetric black hole solution and study the thermodynamics using Wald formalism. The aspects of the solution are much like a Reissner-Nordstrøm black hole in spite of that a global charge cannot be defined for the vector. For non-minimal theories, we obtain a lot of exact black hole solutions, depending on the parameters of the theories. In particular, many of the solutions are general static and have maximal symmetry. However, there are some subtleties and ambiguities in the derivation of the first laws because the existence of an algebraic degree of freedom of the vector in general invalids the Wald entropy formula. The thermodynamics of these solutions deserves further studies.http://link.springer.com/article/10.1140/epjc/s10052-018-5540-7 |
| spellingShingle | Zhong-Ying Fan Black holes in vector-tensor theories and their thermodynamics European Physical Journal C: Particles and Fields |
| title | Black holes in vector-tensor theories and their thermodynamics |
| title_full | Black holes in vector-tensor theories and their thermodynamics |
| title_fullStr | Black holes in vector-tensor theories and their thermodynamics |
| title_full_unstemmed | Black holes in vector-tensor theories and their thermodynamics |
| title_short | Black holes in vector-tensor theories and their thermodynamics |
| title_sort | black holes in vector tensor theories and their thermodynamics |
| url | http://link.springer.com/article/10.1140/epjc/s10052-018-5540-7 |
| work_keys_str_mv | AT zhongyingfan blackholesinvectortensortheoriesandtheirthermodynamics |