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

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.

References in corpus (2)

• Cosmology with torsion: An alternative to cosmic inflation
• Different types of torsion and their effect on the dynamics of fields

Cited by in corpus (6)

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• Covariant phase space for gravity with boundaries: metric vs tetrad formulations
• Gravity with torsion as deformed $BF$ theory
• Gravitational Constraints on a Lightlike boundary
• Boundary structure of the standard model coupled to gravity
• Phase space for gravity with boundaries