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arXiv · gr-qc/0311007

Geometric Algebra Techniques for General Relativity

Matthew R. Francis·Arthur Kosowsky
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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.

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Matthew R. Francis, Arthur Kosowsky. 2003-11-03. Geometric Algebra Techniques for General Relativity. https://doi.org/10.1016/j.aop.2003.12.009

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