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.
@article{arxiv.2407.08396,
title = {Charged spherically symmetric and slowly rotating charged black hole solutions in bumblebee gravity},
author = {Jia-Zhou Liu and Wen-Di Guo and Shao-Wen Wei and Yu-Xiao Liu},
journal= {arXiv preprint arXiv:2407.08396},
year = {2025}
}