Fermi coordinates in Schwarzschild spacetime: closed form expressions
General Relativity and Quantum Cosmology
2015-06-22 v1
Abstract
Fermi coordinates are constructed as exact functions of the Schwar\-zschild coordinates around the world line of a static observer in the equatorial plane of the Schwarzschild spacetime modulo a single impact parameter determined implicitly as a function of the latter coordinates. This illustrates the difficulty of constructing explicit exact Fermi coordinates even along simple world lines in highly symmetric spacetimes.
Cite
@article{arxiv.1408.4947,
title = {Fermi coordinates in Schwarzschild spacetime: closed form expressions},
author = {Donato Bini and Andrea Geralico and Robert T. Jantzen},
journal= {arXiv preprint arXiv:1408.4947},
year = {2015}
}
Comments
16 pages, 3 figures; published version