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Journal of Astrophysics and Astronomy

, Volume 3, Issue 4, pp 393–398 | Cite as

On a nonlinear and Lorentz-invariant verson of Newtonian gravitation

  • J. J. Rawal
  • J. V. Narlikar
Article

Abstract

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.

Key words

Newtonian gravitation Lorentz-invariant generalization 

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References

  1. Nordstrom, G. 1913,Ann. Phys., Paris,42, 533.CrossRefGoogle Scholar
  2. Stephenson, G., Kilmister, C. W. 1958, inSpecial Relativity for Physicists, Longmans, Green and Co. p. 77.Google Scholar

Copyright information

© Indian Academy of Sciences 1982

Authors and Affiliations

  • J. J. Rawal
    • 1
  • J. V. Narlikar
    • 2
  1. 1.Nehru Planetarium, Nehru CentreBombay
  2. 2.Tata Institute of Fundamental ResearchBombay

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