Geometric Algebra Techniques for General Relativity
广义相对论与量子宇宙学
2007-05-23 v1
摘要
Geometric (Clifford) algebra provides an efficient mathematical language for describing physical problems. We formulate general relativity in this language. The resulting formalism combines the efficiency of differential forms with the straightforwardness of coordinate methods. We focus our attention on orthonormal frames and the associated connection bivector, using them to find the Schwarzschild and Kerr solutions, along with a detailed exposition of the Petrov types for the Weyl tensor.
引用
@article{arxiv.gr-qc/0311007,
title = {Geometric Algebra Techniques for General Relativity},
author = {Matthew R. Francis and Arthur Kosowsky},
journal= {arXiv preprint arXiv:gr-qc/0311007},
year = {2007}
}
备注
34 pages, 0 figures; submitted to Annals of Physics