Phantom hairy black holes and wormholes in Einstein-bumblebee gravity
Abstract In this paper we study Einstein-bumblebee gravity theory minimally coupled with external matter – a phantom/non-phantom (conventional) scalar field, and derive a series of hairy solutions – bumblebee-phantom (BP) and BP-dS/AdS black hole solutions, regular Ellis-bumblebee-phantom (EBP) and...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-01-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-13815-9 |
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| author | Chikun Ding Changqing Liu Yuehua Xiao Jun Chen |
| author_facet | Chikun Ding Changqing Liu Yuehua Xiao Jun Chen |
| author_sort | Chikun Ding |
| collection | DOAJ |
| description | Abstract In this paper we study Einstein-bumblebee gravity theory minimally coupled with external matter – a phantom/non-phantom (conventional) scalar field, and derive a series of hairy solutions – bumblebee-phantom (BP) and BP-dS/AdS black hole solutions, regular Ellis-bumblebee-phantom (EBP) and BP-AdS wormholes, etc. We first find that the Lorentz violation (LV) effect can change the so-called black hole no-hair theorem and these scalar fields can give a hair to a black hole. If LV coupling constant $$\ell >-1$$ ℓ > - 1 , the phantom field is admissible and the conventional scalar field is forbidden; if $$\ell <-1$$ ℓ < - 1 , the phantom field is forbidden and the conventional scalar field is admissible. By defining the Killing potential $$\omega ^{ab}$$ ω ab , we study the Smarr formula and the first law for the BP black hole, find that the appearance of LV can improve the structure of these phantom hairy black holes – the conventional Smarr formula and the first law of black hole thermodynamics still hold; but for no LV case, i.e., the regular phantom black hole reported in (Phys Rev Lett 96:251101), the first law cannot be constructed at all. We also show there still exists a stable circular orbit around the BP black hole. When the bumblebee potential is linear, we find that the phantom potential and the Lagrange-multiplier $$\lambda $$ λ behave as a cosmological constant $$\Lambda $$ Λ . |
| format | Article |
| id | doaj-art-4102be2471574b65b6daa4e63f9ec4b0 |
| institution | Kabale University |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-4102be2471574b65b6daa4e63f9ec4b02025-01-26T12:49:36ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-01-0185111210.1140/epjc/s10052-025-13815-9Phantom hairy black holes and wormholes in Einstein-bumblebee gravityChikun Ding0Changqing Liu1Yuehua Xiao2Jun Chen3Department of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityDepartment of Physics, Huaihua UniversityAbstract In this paper we study Einstein-bumblebee gravity theory minimally coupled with external matter – a phantom/non-phantom (conventional) scalar field, and derive a series of hairy solutions – bumblebee-phantom (BP) and BP-dS/AdS black hole solutions, regular Ellis-bumblebee-phantom (EBP) and BP-AdS wormholes, etc. We first find that the Lorentz violation (LV) effect can change the so-called black hole no-hair theorem and these scalar fields can give a hair to a black hole. If LV coupling constant $$\ell >-1$$ ℓ > - 1 , the phantom field is admissible and the conventional scalar field is forbidden; if $$\ell <-1$$ ℓ < - 1 , the phantom field is forbidden and the conventional scalar field is admissible. By defining the Killing potential $$\omega ^{ab}$$ ω ab , we study the Smarr formula and the first law for the BP black hole, find that the appearance of LV can improve the structure of these phantom hairy black holes – the conventional Smarr formula and the first law of black hole thermodynamics still hold; but for no LV case, i.e., the regular phantom black hole reported in (Phys Rev Lett 96:251101), the first law cannot be constructed at all. We also show there still exists a stable circular orbit around the BP black hole. When the bumblebee potential is linear, we find that the phantom potential and the Lagrange-multiplier $$\lambda $$ λ behave as a cosmological constant $$\Lambda $$ Λ .https://doi.org/10.1140/epjc/s10052-025-13815-9 |
| spellingShingle | Chikun Ding Changqing Liu Yuehua Xiao Jun Chen Phantom hairy black holes and wormholes in Einstein-bumblebee gravity European Physical Journal C: Particles and Fields |
| title | Phantom hairy black holes and wormholes in Einstein-bumblebee gravity |
| title_full | Phantom hairy black holes and wormholes in Einstein-bumblebee gravity |
| title_fullStr | Phantom hairy black holes and wormholes in Einstein-bumblebee gravity |
| title_full_unstemmed | Phantom hairy black holes and wormholes in Einstein-bumblebee gravity |
| title_short | Phantom hairy black holes and wormholes in Einstein-bumblebee gravity |
| title_sort | phantom hairy black holes and wormholes in einstein bumblebee gravity |
| url | https://doi.org/10.1140/epjc/s10052-025-13815-9 |
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