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

Kenneth Nordtvedt

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arXiv · 1510.08471

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

Kenneth Nordtvedt

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Abstract

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

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Kenneth Nordtvedt. 2015-10-28. Constructing metric gravity's N-body non-linear Lagrangian from iterative, linear algebraic scaling equations. https://arxiv.org/abs/1510.08471

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