On the relation between ADM and Bondi energy-momenta - radiative spatial   infinity
  In a vacuum spacetime equips with the Bondi's radiating metric which is asymptotically flat at spatial infinity including gravitational radiation ({\bf Condition D}), we establish the relation between the ADM total linear momentum and the Bondi momentum. The relation between the ADM total energy and the Bondi mass in this case was established earlier in [12]. 
Wen-ling Huang, Xiao Zhang