  Coupling the Maxwell tensor to the Riemann-Christoffel curvature tensor is
shown to lead to a geometricized theory of electrodynamics. While this
geometricized theory leads directly to the classical Maxwell equations, it also
extends their physical interpretation by giving charge density, mass density
and the four-velocity that describes their motions geometric definitions.
Assuming the existence of a conserved energy-momentum tensor, all solutions to
the geometricized theory of electrodynamics developed here are shown to be
consistent with the emergence of gravity obeying the General Relativity field
equation augmented by a term that mimics the properties of dark matter and/or
dark energy. Finally, due to the symmetries of the theory, the properties and
phenomenology of antimatter emerge in solutions.
