Geometric Algebra Techniques for General Relativity

Details Geometric Algebra Techniques for General Relativity Geometric Algebra Techniques for General Relativity

2003-11-03

arxiv.org/abs/gr-qc/0311007v1

Annals Phys. 311 (2004) 459-502

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

34 pages, 0 figures; submitted to Annals of Physics

Scientific paper

10.1016/j.aop.2003.12.009

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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