Lagrangians for n point masses at the second post-Newtonianapproximation of general relativity.

Details Lagrangians for n point masses at the second post-Newtonianapproximation of general relativity. Lagrangians for n point masses at the second post-Newtonianapproximation of general relativity.

Sep 1985

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1985gregr..17..879d&link_type=abstract

General Relativity and Gravitation, Volume 17, Issue 9, pp.879-905

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65

General Relativity

Scientific paper

We study the effect of an infinitesimal coordinate transformation on the Lagrangian and on the metric functional of a system ofn point masses. We show how to compute the Lagrangians ofn point masses at the second postNewtonian approximation of general relativity in different coordinate systems. The Lagrangians are shown to depend on the accelerations except in a special class of coordinates. This class includes the coordinates associated with the canonical formalism of Arnowitt, Deser, and Misner, but excludes most other coordinate systems used in the literature (notably the harmonic one).

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