  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 a temporary singularity and a Maxwellian electrodynamics
containing a proposed "topological" axion field. As such, it demonstrates that
although "physics breaks down" at a singularity, the physical laws on the
spacetime still impose constraints on what can happen. Further, the concepts of
transformation optics can be applied to show that our specific mathematical
solution has a much wider applicability.
