Integrability versus separability for the multi-centre metrics

Details Integrability versus separability for the multi-centre metrics Integrability versus separability for the multi-centre metrics

2003-09-22

arxiv.org/abs/hep-th/0309207v1

Commun.Math.Phys. 244 (2004) 571-594

Physics

High Energy Physics

High Energy Physics - Theory

24 pages, latex, no figure

Scientific paper

10.1007/s00220-003-1002-6

The multi-centre metrics are a family of euclidean solutions of the empty space Einstein equations with self-dual curvature. For this full class, we determine which metrics do exhibit an extra conserved quantity quadratic in the momenta, induced by a Killing-St\" ackel tensor. Our systematic approach brings to light a subclass of metrics which correspond to new classically integrable dynamical systems. Within this subclass we analyze on the one hand the separation of coordinates in the Hamilton-Jacobi equation and on the other hand the construction of some new Killing-Yano tensors.

Affiliated with

Also associated with

No associations

Rating

Integrability versus separability for the multi-centre metrics does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Integrability versus separability for the multi-centre metrics, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Integrability versus separability for the multi-centre metrics will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-161260