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arXiv · 2407.08396

Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity

Jia-Zhou Liu·Wen-Di Guo·Shao-Wen Wei·Yu-Xiao Liu
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Abstract

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-Nordstr\"om-like black hole and ReissnerNordstr\"om-(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.

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Jia-Zhou Liu, Wen-Di Guo, Shao-Wen Wei, Yu-Xiao Liu. 2024-07-11. Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity. https://doi.org/10.1140/epjc%2Fs10052-025-13859-x

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