Kaluza-Klein约化(弦论)和Cauchy问题(广义相对论)中Gauss-Codazzi-Ricci方程的变式
Variations of Gauss-Codazzi-Ricci Equations in Kaluza-Klein Reduction (String Theory) and Cauchy Problem (General Relativity)
摘要:
我们找到了Gauss-Codazzi-Ricci方程的一种变形,它适用于Kaluza-Klein约化和Cauchy问题。特别地,外曲率张量的对应部分既有对称部分,也有反对称部分。如果度量张量对约化维数的依赖可以忽略,它就成为纯反对称张量。
英文摘要:
We find a kind of variations of Gauss-Codazzi-Ricci equations suitable for Kaluza-Klein reduction and Cauchy problem. Especially the counterpart of extrinsic curvature tensor has antisymmetric part as well as symmetric one. If the dependence of metric tensor on reduced dimensions is negligible it becomes a pure antisymmetric tensor.
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