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

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arxiv gr-qc/0003051 v3 pith:MCEYLEIM submitted 2000-03-13 gr-qc

Thibault Damour , Piotr Jaranowski , Gerhard Schäfer This is my paper · ORCID
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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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    gr-qc 2024-11 conditional novelty 5.0 of 10

    EHT shadow sizes and LIGO/Virgo/KAGRA inspiral waveforms allow only small values of the dimensionless regularity parameter ℓ in the Ghosh-Simpson-Visser regular black hole.

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