Lsdiff M and the Einstein Equations
General Relativity and Quantum Cosmology
2010-04-06 v4 High Energy Physics - Theory
Abstract
We give a formulation of the vacuum Einstein equations in terms of a set of volume-preserving vector fields on a four-manifold . These vectors satisfy a set of equations which are a generalisation of the Yang-Mills equations for a constant connection on flat spacetime.
Cite
@article{arxiv.gr-qc/9411059,
title = {Lsdiff M and the Einstein Equations},
author = {James D. E. Grant},
journal= {arXiv preprint arXiv:gr-qc/9411059},
year = {2010}
}
Comments
5 pages, no figures, Latex, uses amsfonts, amssym.def and amssym.tex. Note added on more direct connection with Yang-Mills equations