Higher Conservation Law for the Multi-Centre Metrics

Details Higher Conservation Law for the Multi-Centre Metrics Higher Conservation Law for the Multi-Centre Metrics

2002-12-02

arxiv.org/abs/hep-th/0212011v1

Physics

High Energy Physics

High Energy Physics - Theory

Latex, 16 pages, 0 figure

Scientific paper

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.

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