Geometric Algebra Techniques for General Relativity

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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.
34 pages, 0 figures; submitted to Annals of Physics

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General Relativity and Quantum Cosmology

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http://salesiana.dossiersoluciones.com/handle/123456789/34744

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/gr-qc/0311007
 http://arxiv.org/abs/gr-qc/0311007
 Annals Phys. 311 (2004) 459-502
 doi:10.1016/j.aop.2003.12.009

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arXiv