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.
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References
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Communicated by S.-T. Yau
Supported by the National Science Foundations and the Forschungsinstitut für Mathematik, ETH, Zürich
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Moeckel, R. A nonintegrable model in general relativity. Commun.Math. Phys. 150, 415–430 (1992). https://doi.org/10.1007/BF02096667
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DOI: https://doi.org/10.1007/BF02096667