  In this paper we formulate the relationship between force-free
electrodynamics and foliations. The background metric, is considered
predetermined and electrically neutral, but otherwise arbitrary. As it turns
out, solutions to force-free electrodynamics is intimately connected to the
existence of foliations of a spacetime with prescribed properties. We also
prove a local existence and uniqueness theorem and provide a recipe for
constructing the unique solution/class of solutions when certain conditions are
met. We clarify the theorem with examples. We are also able to also prove a
singularity theorem for when non-null solutions approach the null limit. Here
too, we construct an explicit example to illustrate the singularity theorem.
