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

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

2000-03-13

arxiv.org/abs/gr-qc/0003051v3

Phys.Rev.D62:021501,2000; Erratum-ibid.D63:029903,2001

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

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

Scientific paper

10.1103/PhysRevD.62.021501

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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