Higher Conservation Law for the Multi-centre Metrics
نویسنده
چکیده
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-Stäckel tensor. Our results bring to light several metrics which correspond to classically integrable dynamical systems. They include, as particular cases, the Eguchi-Hanson and the Taub-NUT metrics. Multi-Centre Conservation Law 1
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