  We construct perturbative classical solutions of the Yang-Mills equations
coupled to dynamical point particles carrying color charge. By applying a set
of color to kinematics replacement rules first introduced by Bern, Carrasco and
Johansson (BCJ), these are shown to generate solutions of d-dimensional dilaton
gravity, which we also explicitly construct. Agreement between the gravity
result and the gauge theory double copy implies a correspondence between
non-Abelian particles and gravitating sources with dilaton charge. When the
color sources are highly relativistic, dilaton exchange decouples, and the
solutions we obtain match those of pure gravity. We comment on possible
implications of our findings to the calculation of gravitational waveforms in
astrophysical black hole collisions, directly from computationally simpler
gluon radiation in Yang-Mills theory.
