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The cohomogeneity one Einstein equations and Painleve analysis

Abstract:
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. © 2001 Elsevier Science B.V.
Publication status:
Published

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Institution:
University of Oxford
Division:
MPLS
Department:
Mathematical Institute
Role:
Author
Journal:
JOURNAL OF GEOMETRY AND PHYSICS
Volume:
38
Issue:
3-4
Pages:
183-206
Publication date:
2001-06-01
DOI:
ISSN:
0393-0440
Language:
English
Keywords:
Pubs id:
pubs:20691
UUID:
uuid:236e7579-3be2-4b47-822c-3629186e21b1
Local pid:
pubs:20691
Source identifiers:
20691
Deposit date:
2012-12-19

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