Riemann normal coordinates, Fermi reference system and the geodesic deviation equation
General Relativity and Quantum Cosmology
2009-10-31 v1
Abstract
We obtain the integral formulae for computing the tetrads and metric components in Riemann normal coordinates and Fermi coordinate system of an observer in arbitrary motion. Our approach admits essential enlarging the range of validity of these coordinates. The results obtained are applied to the geodesic deviation in the field of a weak plane gravitational wave and the computation of plane-wave metric in Fermi normal coordinates.
Keywords
Cite
@article{arxiv.gr-qc/0010096,
title = {Riemann normal coordinates, Fermi reference system and the geodesic deviation equation},
author = {Alexander I. Nesterov},
journal= {arXiv preprint arXiv:gr-qc/0010096},
year = {2009}
}
Comments
LATeX, 13 pages