On a nonlinear and lorentz-invariant version of Newtonian gravitation — II |
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Authors: | J V Narlikar T Padmanabhan |
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Institution: | (1) Tata Institute of Fundamental Research, Homi Bhabha Road, 400005 Bombay |
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Abstract: | This paper gives a full nonlinear version of Newtonian gravity in which the gravitational energy acts as a source of the gravitational
field. The generalized field equation for the scalar gravitational potential is solved for a spherically symmetric localized
distribution of matter. It is shown that the perihelia of orbits of test particles in such a field precess steadily. The effect
is, however, too small to account for the observed shift in the perihelion of planet Mercury. Further, the bending of light
in this theory is zero. It is suggested that these inadequacies of the quasi-Newtonian framework call for more sophisticated
approaches to gravity. |
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Keywords: | Newtonian gravitation nonlinear Lorentz-Invariant gravitation |
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