Fermi-Frenet coordinates for space-like curves

  title={Fermi-Frenet coordinates for space-like curves},
  author={Michael S. Underwood and Karl-Peter Marzlin},
  journal={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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