The Einstein 3-form Ga and its equivalent 1-form La in Riemann-Cartan space
Christian Heinicke
Abstract
The definition of the Einstein 3-form Ga is motivated by means of the contracted 2nd Bianchi identity. This definition involves at first the complete curvature 2-form. The 1-form La is defined via Ga = Lb #(ob oa). Here # denotes the Hodge-star, oa the coframe, and the exterior product. The La is equivalent to the Einstein 3-form and represents a certain contraction of the curvature 2-form. A variational formula of Salgado on quadratic invariants of the La 1-form is discussed, generalized, and put into proper perspective.
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