Normal frames for non-Riemannian connections
广义相对论与量子宇宙学
2010-04-06 v1
摘要
The principal properties of geodesic normal coordinates are the vanishing of the connection components and first derivatives of the metric components at some point. It is well-known that these hold only at points where the connection has vanishing torsion and non-metricity. However, it is shown that normal frames, possessing the essential features of normal coordinates, can still be constructed when the connection is non-Riemannian.
引用
@article{arxiv.gr-qc/9510013,
title = {Normal frames for non-Riemannian connections},
author = {David Hartley},
journal= {arXiv preprint arXiv:gr-qc/9510013},
year = {2010}
}
备注
4 pages, plain TeX. To appear in Class. Quantum Grav