advanced_tools:bianchi_identities

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advanced_tools:bianchi_identities [2019/01/16 14:25] 129.13.36.189 [Concrete] |
advanced_tools:bianchi_identities [2019/01/16 14:35] jakobadmin [Abstract] |
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<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.txt · Last modified: 2019/01/16 14:35 by jakobadmin

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