(2-GRAVITY WITH MOVING PARTICLES IN AN INSTANTANEOUS GAUGE(1))

By defining a regular gauge which is conformal-like and provides insta ntaneous field propagation, we investigate classical solutions of (2+1 )-Gravity coupled to arbitrarily moving point-like particles. We show how to separate field equations from self-consistent motion and we pro vide a solution for the metric and the motion in the two-body case wit h arbitrary speed, up to second order in the mass parameters.