Higher Conservation Law for the Multi-Centre Metrics
High Energy Physics - Theory
2007-05-23 v1 General Relativity and Quantum Cosmology
Abstract
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 quadraic in the momenta, induced by a Killing-Stackel tensor. Our results bring to light several metrics which correspond to classically integrable dynamical systems. They include, as particular cases, the Eguchi-Hanson and Taub-NUT metrics.
Cite
@article{arxiv.hep-th/0212011,
title = {Higher Conservation Law for the Multi-Centre Metrics},
author = {G. Valent},
journal= {arXiv preprint arXiv:hep-th/0212011},
year = {2007}
}
Comments
Latex, 16 pages, 0 figure