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.

REVTeX, 7 pages; two inadvertently omitted terms in Eq. (12) are added

References in corpus (1)

• The binary black-hole dynamics at the third post-Newtonian order in the orbital motion

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