0 The Einstein 3 - form G α and its equivalent 1 - form L α in Riemann - Cartan space

نویسنده

  • Christian Heinicke
چکیده

The definition of the Einstein 3-form Gα is motivated by means of the contracted 2nd Bianchi identity. This definition involves at first the complete curvature 2-form. The 1-form Lα is defined via Gα = L β ∧ (θβ ∧ θα) (here ⋆ is the Hodge-star, θα the coframe). It 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 Lα 1-form is discussed, generalized, and put into proper perspective.

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تاریخ انتشار 2008