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Superpotentials and the Cohomogeneity One Einstein Equations

✍ Scribed by A. Dancer; M. Wang


Book ID
105902454
Publisher
Springer
Year
2005
Tongue
English
Weight
415 KB
Volume
260
Category
Article
ISSN
0010-3616

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The cohomogeneity one Einstein equations
✍ Andrew Dancer; McKenzie Y. Wang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 170 KB

We apply techniques of PainlevΓ©-Kowalewski analysis to a Hamiltonian system arising from symmetry reduction of the Ricci-flat Einstein equations. In the case of doubly warped product metrics on a product of two Einstein manifolds over an interval, we show that the cases when the total dimension is 1