Fermi-Frenet coordinates for space-like curves

Details Fermi-Frenet coordinates for space-like curves Fermi-Frenet coordinates for space-like curves

2007-06-21

arxiv.org/abs/0706.3224v2

Int. J. Mod. Phys. A 25 (2010) 1147-1154

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

7 pages

Scientific paper

10.1142/S0217751X10047841

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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