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

2000/03/31 by Thibault Damour, P. Jaranowski, Piotr Jaranowski +1 · 9 citations
Mathematics · Physics and Astronomy · #Classical mechanics #Cold Atom Physics and Bose-Einstein Condensates #Hamiltonian (control theory) #Mathematical physics #Mathematics #Phase space #Philosophy #Physics #Poincaré conjecture #Pulsars and Gravitational Waves Research #Quantum mechanics #Quantum, superfluid, helium dynamics #Regularization (linguistics) #Theoretical physics #gr-qc

paper · pdf · doi:10.1103/physrevd.62.021501

published as Phys.Rev.D62:021501,2000; Erratum-ibid.D63:029903,2001 · REVTeX, 7 pages; two inadvertently omitted terms in Eq. (12) are added

openalex publication_date 2000/06/02 · arxiv created 2000/10/21 · arxiv updated 2014/11/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05

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 Poincar'e invariance. The phase-space generators realizing the Poincar'e algebra are explicitly constructed.

Citations

• Binary black-hole problem at the third post-Newtonian approximation in the orbital motion: Static part

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