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arxiv: gr-qc/0003051 · v3 · pith:MCEYLEIMnew · submitted 2000-03-13 · 🌀 gr-qc

Poincar\'e invariance in the ADM Hamiltonian approach to the general relativistic two-body problem

Thibault Damour , Piotr Jaranowski , Gerhard Sch\"afer This is my paper
classification 🌀 gr-qc
keywords poincarhamiltonianinvariancealgebraambiguityapproacharnowitt-deser-misnerconstructed
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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.

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