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

Thibault Damour·Piotr Jaranowski·Gerhard Schäfer
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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.

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Thibault Damour, Piotr Jaranowski, Gerhard Schäfer. 2000-10-21. Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem. https://doi.org/10.1103/physrevd.62.021501%2010.1103%2Fphysrevd.63.029903

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