Weak-field approximation of a scalar theory of gravitation and some remarks on the propagation effects of gravity

Details Weak-field approximation of a scalar theory of gravitation and some remarks on the propagation effects of gravity Weak-field approximation of a scalar theory of gravitation and some remarks on the propagation effects of gravity

1999-12-16

arxiv.org/abs/gr-qc/9912070v3

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, HTML. In the previous version, the author believed to have found a post-Minskowskian approximation which was consist

Scientific paper

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 considered, but the method is general. Two kinds of asymptotic expansion are a priori possible: "post-Newtonian" (PN) or "post-Minkowskian", the latter allowing to account directly for propagation effects. However, it is shown that only the PN asymptotic expansion is compatible with the Newtonian limit. It is also shown that, in the scalar theory, there is no non-Newtonian effect (in particular, no propagation effect) up to the second order, i.e., the order 1/c^2.

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