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Einstein's theory of General Relativity has stood for over 100 years now, and has demonstrated more accurate predictions than Newtonian gravity; however, it is a difficult theory to use because of the non-linearity of the theory. I propose new field equations in a flat background space-time that are analogous to the Einstein field equations, which give the same answer as General Relativity for a point mass.
Scott D. Wilson (Tue,) studied this question.