Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866910888639856640 |
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| author | Liu, Jia-Zhou Guo, Wen-Di Wei, Shao-Wen Liu, Yu-Xiao |
| author_facet | Liu, Jia-Zhou Guo, Wen-Di Wei, Shao-Wen Liu, Yu-Xiao |
| contents | In this paper, we present charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the Reissner-Nordström-like black hole and ReissnerNordström-(anti) de Sitter-like black hole, while the stationary and axially symmetric soltuions describe Kerr-Newman-like black hole and Kerr-Newman-(anti) de Sitter-like black hole. We utilize the Hamilton-Jacobi formalism to study the shadows of the black holes. Additionally, we investigate the effect of the electric charge and Lorentz-violating parameters on the radius of the shadow reference circle and the distortion parameter. We find that the radius of the reference circle decreases with the Lorentz-violating parameter and charge parameter, while the distortion parameter increases with the Lorentz-violating parameter and the charge parameter. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08396 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity Liu, Jia-Zhou Guo, Wen-Di Wei, Shao-Wen Liu, Yu-Xiao General Relativity and Quantum Cosmology In this paper, we present charged spherically symmetric black hole solutions and slowly rotating charged solutions in bumblebee gravity with and without a cosmological constant. The static spherically symmetric solutions describe the Reissner-Nordström-like black hole and ReissnerNordström-(anti) de Sitter-like black hole, while the stationary and axially symmetric soltuions describe Kerr-Newman-like black hole and Kerr-Newman-(anti) de Sitter-like black hole. We utilize the Hamilton-Jacobi formalism to study the shadows of the black holes. Additionally, we investigate the effect of the electric charge and Lorentz-violating parameters on the radius of the shadow reference circle and the distortion parameter. We find that the radius of the reference circle decreases with the Lorentz-violating parameter and charge parameter, while the distortion parameter increases with the Lorentz-violating parameter and the charge parameter. |
| title | Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity |
| topic | General Relativity and Quantum Cosmology |
| url | https://arxiv.org/abs/2407.08396 |