Lorentz symmetry breaking offers a path to singularity-free black holes

By coupling bumblebee gravity (which breaks Lorentz symmetry via a fixed-norm vector field) to nonlinear electrodynamics, the authors derive a family of charged black hole solutions that carry two independent parameters: mass and charge. The central singularity has two distinct origins — a Schwarzschild-type pole and a residual conical defect from the Lorentz-violating background — and both can be eliminated by fixing mass and charge to specific functions of the coupling constants. The end result, demonstrated explicitly for Born-Infeld electrodynamics, is a regular, horizonless spacetime that transitions from an AdS or dS core to an asymptotically Lorentz-violating exterior, but only at the cost of fine-tuning all free parameters.