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• W3035700460 abstract "We consider test particle motion in a gravitational field generated by a homogeneous circular ring placed in $n$-dimensional Euclidean space. We observe that there exist no stable stationary orbits in $n=6, 7, ldots, 10$ but exist in $n=3, 4, 5$ and clarify the regions in which they appear. In $n=3$, we show that the separation of variables of the Hamilton-Jacobi equation does not occur though we find no signs of chaos for stable bound orbits. Since the system is integrable in $n=4$, no chaos appears. In $n=5$, we find some chaotic stable bound orbits. Therefore, this system is nonintegrable at least in $n=5$ and suggests that the timelike geodesic system in the corresponding black ring spacetimes is nonintegrable." @default.
• W3035700460 created "2020-06-19" @default.
• W3035700460 creator A5038362598 @default.
• W3035700460 date "2020-08-07" @default.
• W3035700460 modified "2023-09-24" @default.
• W3035700460 title "Chaotic particle motion around a homogeneous circular ring" @default.
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• W3035700460 doi "https://doi.org/10.1103/physrevd.102.044019" @default.
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