On a nonlinear and Lorentz-invariant version of Newtonian gravitation

Details On a nonlinear and Lorentz-invariant version of Newtonian gravitation On a nonlinear and Lorentz-invariant version of Newtonian gravitation

Dec 1982

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1982japa....3..393r&link_type=abstract

Journal of Astrophysics and Astronomy (ISSN 0250-6335), vol. 3, Dec. 1982, p. 393-398.

Astronomy and Astrophysics

Astrophysics

2

Gravitation Theory, Lorentz Transformations, Newton Theory, Orbit Calculation, Kepler Laws, Mercury (Planet), Perihelions, Precession

Scientific paper

The Newtonian theory of gravitation is modified to include the gravitational energy as a source of gravitational potential, thus making the theory self-coupled and nonlinear. The modified theory can be derived from a Lorentz-invariant 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.

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