Ricci-flat warped products and Painleve analysis

Citation
A. Dancer et My. Wang, Ricci-flat warped products and Painleve analysis, J MATH PHYS, 42(8), 2001, pp. 3609-3614
Citations number
6
Categorie Soggetti
Physics
Journal title
JOURNAL OF MATHEMATICAL PHYSICS
ISSN journal
00222488 → ACNP
Volume
42
Issue
8
Year of publication
2001
Pages
3609 - 3614
Database
ISI
SICI code
0022-2488(200108)42:8<3609:RWPAPA>2.0.ZU;2-#
Abstract
We apply Painleve analysis to the Ricci-flat Einstein equations for a warpe d product with an arbitrary number of factors. We find that, as in the situ ation of the two factors examined [J. Geom. Phys. 38, 183-206 (2001)], the cases when the total dimension is 10 or 11 are singled out by the analysis. (C) 2001 American Institute of Physics.