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Tetrad formalism - Wikipedia

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The tetrad formalism is an approach to general relativity that generalizes the choice of basis for the tangent bundle from a coordinate basis to the less restrictive choice of a local basis, i.e. a locally defined set of four[a] linearly independent vector fields called a tetrad or vierbein.[1] It is a special case of the more general idea of a vielbein formalism, which is set in (pseudo-)Riemannian geometry. This article as currently written makes frequent mention of general relativity; however, almost everything it says is equally applicable to (pseudo-)Riemannian manifolds in general, and even to spin manifolds. Most statements hold by substituting arbitrary 𝑛 for 𝑛 = 4 . In German, "vier" translates to "four", "viel" to "many", and "bein" to "leg". The general idea is to write the metric tensor as the product of two vielbeins, one on the left, and one on the right. The effect of the vielbeins is to change the coordinate system used on the tangent manifold to one that is simple

Tetrad formalism - Wikipedia Jump to content From Wikipedia, the free encyclopedia Approach to general relativity This article is about general tetrads. For orthonormal tetrads, see Frame fields in general relativity . The tetrad formalism is an approach to general relativity that generalizes the choice of basis for the tangent bundle from a coordinate basis to the less restrictive choice of a local basis, i.e. a locally defined set of four [ a ] linearly independent vector fields called a tetrad or vierbein . [ 1 ] It is a special case of the more general idea of a vielbein formalism , which

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