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

2015/10/28 by Kenneth Nordtvedt, Nordtvedt, Kenneth
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Experimental and Theoretical Physics Studies #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #Pulsars and Gravitational Waves Research #gr-qc

paper · pdf · doi:10.48550/arxiv.1510.08471

arxiv created 2015/10/28 · openalex publication_date 2015/10/28 · arxiv updated 2015/10/30 · openalex created_date 2022/09/11 · openalex updated_date 2026/07/28

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/c⁴ 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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