  Gauge fields associated with the manifestly covariant dynamics of particles
in (3,1) spacetime are five-dimensional. We provide solutions of the classical
5D gauge field equations in both (4,1) and (3,2) flat spacetime metrics for the
simple example of a uniformly moving point source. Green functions for the 5D
field equations are obtained, which are consistent with the solutions for
uniform motion obtained directly from the field equations with free asymptotic
conditions.
