Constructing metric gravity's N-body non-linear Lagrangian from iterative, linear algebraic scaling equations
General Relativity and Quantum Cosmology
2015-10-30 v1
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.
Cite
@article{arxiv.1510.08471,
title = {Constructing metric gravity's N-body non-linear Lagrangian from iterative, linear algebraic scaling equations},
author = {Kenneth Nordtvedt},
journal= {arXiv preprint arXiv:1510.08471},
year = {2015}
}