Einstein's action and the harmonic gauge in terms of Newtonian fields
High Energy Physics - Theory
2012-11-08 v5 General Relativity and Quantum Cosmology
Abstract
The "Newtonian" or non-relativistic decomposition of Einstein's gravitational field is useful in the post-Newtonian approximation. We obtain the full non-quadratic Einstein-Hilbert action in terms of these fields as well as the harmonic gauge fixing term and find fairly simple expressions. We discuss alternatives to the harmonic gauge.
Keywords
Cite
@article{arxiv.1009.1876,
title = {Einstein's action and the harmonic gauge in terms of Newtonian fields},
author = {Barak Kol and Michael Smolkin},
journal= {arXiv preprint arXiv:1009.1876},
year = {2012}
}
Comments
17 pages. v5: Added section 4 providing the harmonic gauge fixing term in NRG fields and appendix A with a derivation of the action