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On the Mathematics of Coframe Formalism and Einstein–Cartan Theory—A Brief Review

Institute for Theoretical Physics, ETH Zürich, Wolfgang-Pauli-Str. 27, 8093, Zürich, Switzerland
Universe 2019, 5(10), 206; https://doi.org/10.3390/universe5100206
Received: 3 September 2019 / Revised: 22 September 2019 / Accepted: 24 September 2019 / Published: 27 September 2019
(This article belongs to the Special Issue Torsion-Gravity and Spinors in Fundamental Theoretical Physics)
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. View Full-Text
Keywords: general relativity; torsion-gravity; mathematical physics general relativity; torsion-gravity; mathematical physics
MDPI and ACS Style

Tecchiolli, M. On the Mathematics of Coframe Formalism and Einstein–Cartan Theory—A Brief Review. Universe 2019, 5, 206.

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