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advanced_tools:bianchi_identities [2019/01/16 14:24]
129.13.36.189 [Concrete]
advanced_tools:bianchi_identities [2019/01/16 14:35] (current)
jakobadmin [Abstract]
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-Bianchi identities express the fact that the boundary of a boundary is always zero. Mathematically this follows by applying Stoke'​s theorem twice.+Bianchi identities express the fact that the boundary of a boundary is always zero. Mathematically this follows by applying Stoke'​s theorem twice. ​This is discussed explicitly in the book No-Nonsense Electrodynamics by Schwichtenberg
  
    
 <tabbox Abstract> ​ <tabbox Abstract> ​
- +In general relativity, the Bianchi identity ​ 
-<note tip> +$$ \nabla R = \nabla \nabla \theta =0  $$ 
-The motto in this section ​is: //the higher ​the level of abstraction, ​the better//. +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]])
-</note> +
 <tabbox Why is it interesting?> ​ <tabbox Why is it interesting?> ​
 <​blockquote>​ <​blockquote>​
advanced_tools/bianchi_identities.1547645097.txt.gz · Last modified: 2019/01/16 13:24 (external edit)