PARTICLE DECAYS AND SPACE-TIME KINEMATICS IN (2-GRAVITY(1))

We consider the properties of the space-time geometry in the presence of gravitating spinless particles in (2+1) dimensions. By using 't Hoo ft representation of three-dimensional space-time, we give a descripti on of the decays of gravitating particles and derive the associated ki nematic relations, The effects of gravity on the structure of the ener gy-momentum conservation law are discussed. We show that, for a set of spinless particles, the time evolution of the momenta can be describe d by means of a generalized space-time kinematics based on a particula r representation of the braid group.