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arXiv · 0706.3224

Fermi-Frenet coordinates for space-like curves

Michael S. Underwood·Karl-Peter Marzlin
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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.

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Michael S. Underwood, Karl-Peter Marzlin. 2007-06-21. Fermi-Frenet coordinates for space-like curves. https://doi.org/10.1142/s0217751x10047841

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