Geometric Algebra Techniques for General Relativity

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dc.creatorFrancis, Matthew R.
dc.creatorKosowsky, Arthur
dc.date2003-11-03
dc.date.accessioned2026-07-07T03:28:13Z
dc.date.available2026-07-07T03:28:13Z
dc.descriptionGeometric (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.
dc.description34 pages, 0 figures; submitted to Annals of Physics
dc.identifierhttps://arxiv.org/abs/gr-qc/0311007
dc.identifierhttp://arxiv.org/abs/gr-qc/0311007
dc.identifierAnnals Phys. 311 (2004) 459-502
dc.identifierdoi:10.1016/j.aop.2003.12.009
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/34744
dc.subjectGeneral Relativity and Quantum Cosmology
dc.titleGeometric Algebra Techniques for General Relativity
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