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A method for constructing metric gravity's N-body Lagrangian is developedwhich uses iterative, liner algebraic euqations which enforce invarianceproperties of gravity --- exterior effacement, interior effacement, and thetime dilation and Lorentz contraction of matter under boosts. The method isdemonstrated by obtaining the full 1/c^4 order Lagrangian, and a combination ofexterior and interior effacement enforcement permits construction of the fullSchwarzschild temporal and spatial metric potentials.

Constructing metric gravity's N-body non-linear Lagrangian from iterative, linear algebraic scaling equations