Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1898924 | Journal of Geometry and Physics | 2007 | 30 Pages |
Abstract
Hyperbolic monopole motion is studied for well separated monopoles. It is shown that the motion of a hyperbolic monopole in the presence of one or more fixed monopoles is equivalent to geodesic motion on a particular submanifold of the full moduli space. The metric on this submanifold is found to be a generalisation of the multi-centre Taub-NUT metric introduced by LeBrun. The one centre case is analysed in detail as a special case of a class of systems admitting a conserved Runge–Lenz vector. The two centre problem is also considered. An integrable classical string motion is exhibited.
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Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
G.W. Gibbons, C.M. Warnick,