Equivalence between the ADM-Hamiltonian and the harmonic-coordinates approaches to the third post-Newtonian dynamics of compact binaries

Thibault Damour, Piotr Jaranowski, and Gerhard Schäfer
Phys. Rev. D 63, 044021 – Published 30 January 2001; Erratum Phys. Rev. D 66, 029901 (2002)
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Abstract

The third post-Newtonian approximation to the general relativistic dynamics of two point-mass systems has been recently derived by two independent groups, using different approaches and different coordinate systems. By explicitly exhibiting the map between the variables used in the two approaches we prove their physical equivalence. Our map allows one to transfer all the known results of the Arnowitt-Deser-Misner approach to the harmonic-coordinates one: in particular, it gives the value of the harmonic-coordinates Lagrangian and the expression of the ten conserved quantities associated with global Poincaré invariance.

  • Received 10 October 2000

DOI:https://doi.org/10.1103/PhysRevD.63.044021

©2001 American Physical Society

Erratum

Authors & Affiliations

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-Platz 1, 07743 Jena, Germany

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Issue

Vol. 63, Iss. 4 — 15 February 2001

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