Temporary Singularities and Axions: An Analytic Solution that Challenges Charge Conservation

We construct an analytic solution to Maxwell's equations that violates global charge conservation, by building on the possibilities demonstrated in [Foundations of Physics 49, 330 (2019)]. The construction is valid for a spacetime containing temporary singularity and Maxwellian electrodynamics proposed "topological" axion field. As such, it demonstrates although "physics breaks down" at singularity, physical laws still impose constraints what can happen. Further, concepts transformation optics be applied show our specific mathematical has much wider applicability.