The cohomogeneity one Einstein equations and Painlevé analysis

✍ Scribed by Andrew Dancer; McKenzie Y. Wang

• Publisher: Elsevier Science
• Year: 2001
• Tongue: English
• Weight: 170 KB
• Volume: 38
• Category: Article
• ISSN: 0393-0440
• DOI: 10.1016/s0393-0440(00)00061-9

✦ Synopsis

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 10 or 11 are singled out by our analysis.