A postNewtonian gravitational Lagrangian formalism for celestial body dynamics in metric gravity
Abstract
Within the class of all metric theories of gravity, compact celestial bodies which themselves contribute nonnegligibly to the gravitational metric field generally will not move on geodesics of the metric field as test bodies do. For this reason, a postNewtonian metric field expansion is not necessarily adequate to describe the general dynamics of two or more such celestial bodies interacting with each other gravitationally. Studies have, therefore, been initiated with the objective to develop, as a substitute, a postNewtonian Lagrangian formalism for describing the relativistic dynamics of compact celestial bodies. The present paper treats the dynamics at the first postNewtonian level (1/csquared). However, the internal structure of the celestial bodies influences the dynamics at orders in 1/csquared via the Lagrangian coupling parameters, which are nonperturbative.
 Publication:

The Astrophysical Journal
 Pub Date:
 October 1985
 DOI:
 10.1086/163538
 Bibcode:
 1985ApJ...297..390N
 Keywords:

 Celestial Mechanics;
 Gravitation Theory;
 Lagrange Multipliers;
 Many Body Problem;
 Astrodynamics;
 Field Theory (Physics);
 Metric Space;
 Relativistic Theory;
 Astrophysics