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Equations of motion according to the asymptotic post-Newtonian scheme for general relativity in the harmonic gauge
Mayeul Arminjon
The asymptotic scheme of post-Newtonian approximation defined for general relativity (GR) in the harmonic gauge by Futamase & Schutz (1983) is based on a family of initial data for…
Motion of the mass centers in a scalar theory of gravitation: the point particle limit
Mayeul Arminjon
We investigate the point-particle limit of the equations of motion valid for a system of extended bodies in a scalar alternative theory of gravitation: the size of one of the bodie…
Equations of motion of the mass centers in a scalar theory of gravitation: Expansion in the separation parameter
Mayeul Arminjon
An asymptotic framework is defined for the small parameter eta which quantifies a good separation between the extended bodies that make a weakly gravitating system. This is introdu…
Asymptotic expansions for relativistic celestial mechanics
Mayeul Arminjon
The method of asymptotic expansions is used to build an approximation scheme relevant to celestial mechanics in relativistic theories of gravitation. A scalar theory is considered,…
Weak-field approximation of a scalar theory of gravitation and some remarks on the propagation effects of gravity
Mayeul Arminjon
A simple example is given of the implementation of the usual method of asymptotic expansions for weak gravitational fields. A scalar, preferred-frame theory of gravitation is consi…
Post-Newtonian Approximation of a Scalar Theory of Gravitation and Application to Light Rays
Mayeul Arminjon
A scalar, preferred-frame theory of gravitation is summarized. Space-time is endowed with both a flat metric and a curved, "physical" metric. Motion is governed by a natural extens…