Spacetime and Euclidean Geometry
广义相对论与量子宇宙学
2009-11-10 v2 高能物理 - 理论
物理教育
摘要
Using only the principle of relativity and Euclidean geometry we show in this pedagogical article that the square of proper time or length in a two-dimensional spacetime diagram is proportional to the Euclidean area of the corresponding causal domain. We use this relation to derive the Minkowski line element by two geometric proofs of the "spacetime Pythagoras theorem".
引用
@article{arxiv.gr-qc/0407022,
title = {Spacetime and Euclidean Geometry},
author = {Dieter Brill and Ted Jacobson},
journal= {arXiv preprint arXiv:gr-qc/0407022},
year = {2009}
}
备注
11 pages, 9 figures; for a festschrift honoring Michael P. Ryan; v.2: References to related work added