Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
2003-10-13
Theor.Math.Phys. 140 (2004) 1011-1027; Teor.Mat.Fiz. 140 (2004) 139-159
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
LaTeX, 26 pages, no figure. Accepted for publication in Theor. Math. Phys. (Teor. Mat. Fiz.)
Scientific paper
10.1023/B:TAMP.0000033037.42732.
A scalar bimetric theory of gravity with a preferred reference frame is summarized. Dynamics is governed by an extension of Newton's second law. In the static case, geodesic motion is recovered together with Newton's attraction field. In the static spherical case, Schwarzschild's metric is found. Asymptotic schemes of post-Newtonian (PN) and post-Minkowskian (PM) approximation are built, each based on associating a conceptual family of systems with the given system. At the 1PN approximation, there is no preferred-frame effect for photons, hence the standard predictions of GR for photons are got. At the 0PM approximation, an isolated system loses energy by quadrupole radiation, without any monopole or dipole term. Inserting this loss into the Newtonian 2-body problem gives the Peters-Mathews coefficients of the theory.
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