Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity
Abstract We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz symmetry violating and can only exist with a linear...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
| Published: |
SpringerOpen
2023-07-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-023-11761-y |
| _version_ | 1797689097115926528 |
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| author | Chikun Ding Yu Shi Jun Chen Yuebing Zhou Changqing Liu Yuehua Xiao |
| author_facet | Chikun Ding Yu Shi Jun Chen Yuebing Zhou Changqing Liu Yuehua Xiao |
| author_sort | Chikun Ding |
| collection | DOAJ |
| description | Abstract We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz symmetry violating and can only exist with a linear functional potential of the bumblebee field. This black hole has two horizons and an ergosphere which are dependent on the bumblebee coupling constant $$\ell $$ ℓ . The concepts of the area and volume of the horizon should be renewed in this LV spacetime due to the nontrivial contribution of coupling between the bumblebee field and the Ricci tensor. Only in this way, the entropy-area relation, first law of thermodynamics and the Smarr formula can still be constructed. We also study the AdS/CFT correspondence of this black hole, find that the entropy product of its inner and outer horizons is universal. So the central charges of the dual CFT on the boundary can be obtained via the thermodynamic method, and they can reappear black hole mass and angular momentum in the bulk. |
| first_indexed | 2024-03-12T01:41:08Z |
| format | Article |
| id | doaj.art-0efd4f4859ea440b8fab88cd70c22249 |
| institution | Directory Open Access Journal |
| issn | 1434-6052 |
| language | English |
| last_indexed | 2024-03-12T01:41:08Z |
| publishDate | 2023-07-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-0efd4f4859ea440b8fab88cd70c222492023-09-10T11:22:50ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522023-07-018371910.1140/epjc/s10052-023-11761-yRotating BTZ-like black hole and central charges in Einstein-bumblebee gravityChikun Ding0Yu Shi1Jun Chen2Yuebing Zhou3Changqing Liu4Yuehua Xiao5Department of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityAbstract We obtain an exact rotating BTZ-like black hole solution by solving the corresponding gravitational field equations and the bumblebee motion equations in Einstein-bumblebee gravity theory. Result is presented for the purely radial Lorentz symmetry violating and can only exist with a linear functional potential of the bumblebee field. This black hole has two horizons and an ergosphere which are dependent on the bumblebee coupling constant $$\ell $$ ℓ . The concepts of the area and volume of the horizon should be renewed in this LV spacetime due to the nontrivial contribution of coupling between the bumblebee field and the Ricci tensor. Only in this way, the entropy-area relation, first law of thermodynamics and the Smarr formula can still be constructed. We also study the AdS/CFT correspondence of this black hole, find that the entropy product of its inner and outer horizons is universal. So the central charges of the dual CFT on the boundary can be obtained via the thermodynamic method, and they can reappear black hole mass and angular momentum in the bulk.https://doi.org/10.1140/epjc/s10052-023-11761-y |
| spellingShingle | Chikun Ding Yu Shi Jun Chen Yuebing Zhou Changqing Liu Yuehua Xiao Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity European Physical Journal C: Particles and Fields |
| title | Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity |
| title_full | Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity |
| title_fullStr | Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity |
| title_full_unstemmed | Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity |
| title_short | Rotating BTZ-like black hole and central charges in Einstein-bumblebee gravity |
| title_sort | rotating btz like black hole and central charges in einstein bumblebee gravity |
| url | https://doi.org/10.1140/epjc/s10052-023-11761-y |
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