The well-known solution of Vaidya for a radiating sphere in a Kaluza-K
lein-type of space-time is extended. The field equations yield a two-p
arameter solution-either an exactly four-dimensional Vaidya metric wit
h a flat extra space tucked to it or a flat Minkowski space-time. The
geodesic trajectories of test particles in this field are studied and
some astrophysical consequences due to the presence of the extra space
are also briefly discussed. (C) 1994 American Institute of Physics.