Action Principle for the Generalized Harmonic Formulation of General Relativity
General Relativity and Quantum Cosmology
2013-05-29 v2
Abstract
An action principle for the generalized harmonic formulation of general relativity is presented. The action is a functional of the spacetime metric and the gauge source vector. An action principle for the Z4 formulation of general relativity has been proposed recently by Bona, Bona--Casas and Palenzuela (BBP). The relationship between the generalized harmonic action and the BBP action is discussed in detail.
Cite
@article{arxiv.1008.3177,
title = {Action Principle for the Generalized Harmonic Formulation of General Relativity},
author = {J. David Brown},
journal= {arXiv preprint arXiv:1008.3177},
year = {2013}
}
Comments
This version is contains more thorough presentations and discussions of the key results. To be published in PRD. (8 pages, no figures)