Covariant formulation of the post-1-Newtonian approximation to General Relativity
General Relativity and Quantum Cosmology
2011-09-08 v2 High Energy Physics - Theory
Abstract
We derive a coordinate-independent formulation of the post-1-Newtonian approximation to general relativity. This formulation is a generalization of the Newton-Cartan geometric formulation of Newtonian gravity. It involves several fields and a connection, but no spacetime metric at the fundamental level. We show that the usual coordinate-dependent equations of post-Newtonian gravity are recovered when one specializes to asymptotically flat spacetimes and to appropriate classes of coordinates.
Keywords
Cite
@article{arxiv.1101.0588,
title = {Covariant formulation of the post-1-Newtonian approximation to General Relativity},
author = {Wolfgang Tichy and Eanna E. Flanagan},
journal= {arXiv preprint arXiv:1101.0588},
year = {2011}
}
Comments
14 pages, no figures, minor corrections, to appear in Phys. Rev. D