General Transformation Formulas for Fermi-Walker Coordinates
General Relativity and Quantum Cosmology
2008-11-26 v4
Abstract
We calculate the transformation and inverse transformation, in the form of Taylor expansions, from arbitrary coordinates to Fermi-Walker coordinates in tubular neighborhoods of arbitrary timelike paths for general spacetimes. Explicit formulas for coefficients and the Jacobian matrix are given.
Keywords
Cite
@article{arxiv.0712.3838,
title = {General Transformation Formulas for Fermi-Walker Coordinates},
author = {David Klein and Peter Collas},
journal= {arXiv preprint arXiv:0712.3838},
year = {2008}
}
Comments
23 pages. Corrected typos in the last two equations. Accepted for publication in Classical and Quantum Gravity