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On the Mathematics of Coframe Formalism and Einstein-Cartan Theory -- A Brief Review
Published 19 Aug 2020 in math-ph, gr-qc, and math.MP | (2008.08314v3)
Abstract: This article is a review of what could be considered the basic mathematics of Einstein-Cartan theory. We discuss the formalism of principal bundles, principal connections, curvature forms, gauge fields, torsion form, and Bianchi identities, and eventually, we will end up with Einstein-Cartan-Sciama-Kibble field equations and conservation laws in their implicit formulation.
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