Abstract
Trajectories of test particles in the Ernst space-time are studied. The Poincaré surfaces of section are constructed and Lyapunov characteristic exponents are evaluated for a selected set of trajectories. This approach indicates that the number of isolating integrals is not sufficient to separate equations of motion and the particle trajectories are not integrable.
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Karas, V., Vokrouhlický, D. Chaotic motion of test particles in the Ernst space-time. Gen Relat Gravit 24, 729–743 (1992). https://doi.org/10.1007/BF00760079
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DOI: https://doi.org/10.1007/BF00760079