The Einstein 3-form Ga and its equivalent 1-form La in Riemann-Cartan space
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.
Turn this paper into a full lesson
ArcXiv compiles a staged curriculum from this paper: 8-12 lessons across beginner → advanced, synthesised section guides, visuals, flashcards, a quiz, exercises, and on-demand deep dives per section. Grounded in the abstract, never invented.