Variations of Gauss-Codazzi-Ricci Equations in Kaluza-Klein Reduction (String Theory) and Cauchy Problem (General Relativity)

Details Variations of Gauss-Codazzi-Ricci Equations in Kaluza-Klein Reduction (String Theory) and Cauchy Problem (General Relativity) Variations of Gauss-Codazzi-Ricci Equations in Kaluza-Klein Reduction (String Theory) and Cauchy Problem (General Relativity)

2007-05-09

arxiv.org/abs/0705.1216v1

Physics

High Energy Physics

High Energy Physics - Theory

Scientific paper

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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