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Consistently Implementing the Fields Self-Energy in Newtonian Gravity

Domenico Giulini
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Abstract

We consider in a pedagogical fashion alterations to Newtonian gravity due to the postulate that all energy corresponds to active gravitational mass when applied to the self-energy of the gravitational field. We show why a simple addition of ${1\over c^2}$ times the gravitational field energy to the matter density in Newton's field equation is inconsistent. A consistent prescription is shown and discussed. The connection to general relativity is pointed out.

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Domenico Giulini. 1996-05-06. Consistently Implementing the Fields Self-Energy in Newtonian Gravity. https://doi.org/10.1016/s0375-9601(97)00369-1

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