# Fermi-Frenet coordinates for space-like curves

@article{Underwood2007FermiFrenetCF,
title={Fermi-Frenet coordinates for space-like curves},
author={Michael S. Underwood and Karl-Peter Marzlin},
journal={arXiv: General Relativity and Quantum Cosmology},
year={2007}
}
• Published 21 June 2007
• Physics
• arXiv: General Relativity and Quantum Cosmology
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…
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