We apply techniques of Painlevé-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
Painlevé expansions and the Einstein equations: the two-summand case
✍ Scribed by Andrew Dancer; McKenzie Y. Wang
- Publisher
- Elsevier Science
- Year
- 2003
- Tongue
- English
- Weight
- 236 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0393-0440
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