Poincar\'e invariance in the ADM Hamiltonian approach to the general   relativistic two-body problem
  A previously found momentum-dependent regularization ambiguity in the third post-Newtonian two point-mass Arnowitt-Deser-Misner Hamiltonian is shown to be uniquely determined by requiring global Poincar\'e invariance. The phase-space generators realizing the Poincar\'e algebra are explicitly constructed. 
Thibault Damour, Piotr Jaranowski, and Gerhard Sch\"afer