Fermi-Frenet coordinates for space-like curves
General Relativity and Quantum Cosmology
2014-11-18 v2
Abstract
We generalize Fermi coordinates, which correspond to an adapted set of coordinates describing the vicinity of an observer's worldline, to the worldsheet of an arbitrary spatial curve in a static spacetime. The spatial coordinate axes are fixed using a covariant Frenet triad so that the metric can be expressed using the curvature and torsion of the spatial curve. As an application of Fermi-Frenet coordinates, we show that they allow covariant inertial forces to be expressed in a simple and physically intuitive way.
Cite
@article{arxiv.0706.3224,
title = {Fermi-Frenet coordinates for space-like curves},
author = {Michael S. Underwood and Karl-Peter Marzlin},
journal= {arXiv preprint arXiv:0706.3224},
year = {2014}
}