Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem

Abstract

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 Poincaré invariance. The phase-space generators realizing the Poincaré algebra are explicitly constructed.