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