  Massless particles in General Relativity move with the speed of light, their
trajectories in spacetime are described by null geodesics. This is independent
of the electrical charge of the particle being considered, however, the charged
light-like case is less well understood. Starting with the Maxwell field of a
charged particle having a light-like geodesic world line in Minkowskian
space-time we construct the Maxwell field of such a particle having a
non-geodesic, light-like world line. The necessary geometry in the
neighbourhood of an arbitrary null world line in Minkowskian space-time is
described and properties of the resulting electromagnetic field are discussed.
The electromagnetic field obtained represents a light-like analogue of the
Lienard-Wiechert field, which generalises the Coulomb field of a charge having
a time-like geodesic world line to the field of a charge having an accelerated
world line.
