Differential Forms and Einstein-Cartan Theory
In the following we use the Lorentz metric with signature — 2, and Latin letters for vector fields and Greek letters for covector fields or forms. The usual conventions, e (belonging to), ⋃ (union) and ⋂ (intersection) are adopted. The [...] around a set of indices denote antisymmetrization, ⊗ denotes the Cartesian product, δ denotes the variational derivative, ∂ the partial derivative and D, ∇, or ; the covariant derivative. Einstein’s summation convention is adopted wherever necessary.
KeywordsGauge Theory Differential Form Exterior Derivative Grassmann Algebra Cartan Theory
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