Poincare Invariance in the ADM Hamiltonian Approach to the General RelativisticTwo-Body Problem

摘要

A previously found momentum-dependent regularization ambiguity in the third post-Newtonian two point-mass Arnowitt-Deser-Misner (ADM) Hamiltonian is shown to be uniquely determined by requiring global Poincare invariance. The phase-space generators realizing the Poincare algebra are explicitly constructed.