Journal article
On conserved quantities of certain cohomogeneity one Ricci-flat equations
Abstract
We give a classification of continuously differentiable on-shell integrals which are linear or quadratic in momenta for a Hamiltonian system with constraint associated to the Ricci-flat cohomogeneity one Einstein equations for two special classes of principal orbits/hypersurfaces. Relations to known on-shell integrals and to Painlev analysis are discussed.
Authors
Dancer A; Wang MY
Journal
Proceedings of the Royal Society A, Vol. 460, No. 2045, pp. 1359–1380
Publisher
The Royal Society
Publication Date
May 8, 2004
DOI
10.1098/rspa.2003.1177
ISSN
1364-5021