Riemann Normal Coordinate expansions using Cadabra
General Relativity and Quantum Cosmology
2022-11-07 v3
Abstract
Riemann normal coordinate expansions of the metric and other geometrical quantities, including the geodesic arc-length, will be presented. All of the results are given to fifth-order in the curvature and were obtained using the computer algebra package Cadabra.
Keywords
Cite
@article{arxiv.0903.2087,
title = {Riemann Normal Coordinate expansions using Cadabra},
author = {Leo Brewin},
journal= {arXiv preprint arXiv:0903.2087},
year = {2022}
}
Comments
v2: Updated to version 2 of Cadabra and fixed computational errors; v3: Corrected indices and sign on lhs of eqtns. 11.19a-d