Equivalent Generic Forms for Metric Fields Yielded by Relativistic Positioning Systems
General Relativity and Quantum Cosmology
2013-07-11 v3
Abstract
Relativistic positioning systems provide tensors represented in -frames ( for light) dual to systems of emission coordinates. We show that any Lorentzian metric field given in such a frame is isometrically equivalent to a generic metric field defined by only four positive functions depending on another specific system of emission coordinates.
Cite
@article{arxiv.1304.5699,
title = {Equivalent Generic Forms for Metric Fields Yielded by Relativistic Positioning Systems},
author = {Jacques L. Rubin},
journal= {arXiv preprint arXiv:1304.5699},
year = {2013}
}