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A nonintegrable model in general relativity
Authors:Richard Moeckel
Institution:(1) Schol of Mathematics, University of Minnesota, 55455 Minneapolis, MN, USA
Abstract:The geodesic flow of a perturbation of the Schwarzschild metric is shown to possess a chaotic invariant set. The perturbed meric is a relativistic analogue of Hill's problem in classical celestial mechanics in that is models the effects of a distant third body.Supported by the National Science Foundations and the Forschungsinstitut für Mathematik, ETH, Zürich
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