General Transformation Formulas for Fermi-Walker Coordinates

Details General Transformation Formulas for Fermi-Walker Coordinates General Transformation Formulas for Fermi-Walker Coordinates

2007-12-22

arxiv.org/abs/0712.3838v4

Class.Quant.Grav.25:145019,2008

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

23 pages. Corrected typos in the last two equations. Accepted for publication in Classical and Quantum Gravity

Scientific paper

10.1088/0264-9381/25/14/145019

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.

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