On a nonlinear and Lorentzinvariant version of Newtonian gravitation
Abstract
The Newtonian theory of gravitation is modified to include the gravitational energy as a source of gravitational potential, thus making the theory selfcoupled and nonlinear. The modified theory can be derived from a Lorentzinvariant action principle. The Kepler problem is discussed in this theory and it is shown that the perihelion of the orbit steadily precesses. The rate of precession is, however, insufficient to account for the observed precession of the perihelion of Mercury. The differences from the Newtonian theory for the bending of light and the gravitational redshift of spectral lines are shown to be marginal.
 Publication:

Journal of Astrophysics and Astronomy
 Pub Date:
 December 1982
 DOI:
 10.1007/BF02714881
 Bibcode:
 1982JApA....3..393R
 Keywords:

 Gravitation Theory;
 Lorentz Transformations;
 Newton Theory;
 Orbit Calculation;
 Kepler Laws;
 Mercury (Planet);
 Perihelions;
 Precession;
 Physics (General)