advanced_tools:bianchi_identities
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advanced_tools:bianchi_identities [2019/01/16 14:34] jakobadmin [Abstract] |
advanced_tools:bianchi_identities [2019/01/16 14:35] (current) jakobadmin [Abstract] |
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| In general relativity, the Bianchi identity | In general relativity, the Bianchi identity | ||
| $$ \nabla R = \nabla \nabla \theta =0 $$ | $$ \nabla R = \nabla \nabla \theta =0 $$ | ||
| - | roughly says "that the sum over a closed two-dimensional surface of rotations induced by Riemannian curvature is equal to zero." ([[https://link.springer.com/article/10.1007%2FBF01882731|Source]]) | + | roughly says "that the sum over a closed two-dimensional surface of rotations induced by Riemannian curvature is equal to zero. [...] Geometrically this means that the density of the moment of rotation induced by Riemannian curvature is equal to zero automatically." ([[https://link.springer.com/article/10.1007%2FBF01882731|Source]]) |
| <tabbox Why is it interesting?> | <tabbox Why is it interesting?> | ||
| <blockquote> | <blockquote> | ||
advanced_tools/bianchi_identities.1547645695.txt.gz · Last modified: 2019/01/16 13:34 (external edit)
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