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Phys. Rev. D 62, 021501(R) (2000) [5 pages]

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

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Thibault Damour
Institut des Hautes Études Scientifiques, 91440 Bures-sur-Yvette, France

Piotr Jaranowski
Institute of Theoretical Physics, University of Białystok, Lipowa 41, 15-424 Białystok, Poland

Gerhard Schäfer
Theoretisch-Physikalisches Institut, Friedrich-Schiller-Universität, Max-Wien-Pl. 1, 07743 Jena, Germany

See Also: Erratum

Received 13 March 2000; published 2 June 2000

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.

© 2000 The American Physical Society

URL:
http://link.aps.org/doi/10.1103/PhysRevD.62.021501
DOI:
10.1103/PhysRevD.62.021501
PACS:
04.25.Nx, 04.20.Fy, 04.30.Db, 97.60.Jd, 04.25.Nx, 04.20.Fy, 04.30.Db, 97.60.Jd

See Also

Erratum: Thibault Damour, Piotr Jaranowski, and Gerhard Schäfer, Erratum: Poincaré invariance in the ADM Hamiltonian approach to the general relativistic two-body problem [Phys. Rev. D 62, 021501(R) (2000)], Phys. Rev. D 63, 029903 (2000).