Geometric Algebra Techniques for General Relativity
General Relativity and Quantum Cosmology
2007-05-23 v1
Abstract
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.
Cite
@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}
}
Comments
34 pages, 0 figures; submitted to Annals of Physics