Astronomy and Astrophysics – Astrophysics – General Relativity and Quantum Cosmology
Scientific paper
1995-05-20
Class.Quant.Grav. 13 (1996) 1241-1260
Astronomy and Astrophysics
Astrophysics
General Relativity and Quantum Cosmology
More comments for the quantitative estimation of chaos are added, and some inappropriate terms are changed. This will appear o
Scientific paper
10.1088/0264-9381/13/5/034
We study the motion of test particle in static axisymmetric vacuum spacetimes and discuss two criteria for strong chaos to occur: (1) a local instability measured by the Weyl curvature, and (2) a tangle of a homoclinic orbit, which is closely related to an unstable periodic orbit in general relativity. We analyze several static axisymmetric spacetimes and find that the first criterion is a sufficient condition for chaos, at least qualitatively. Although some test particles which do not satisfy the first criterion show chaotic behavior in some spacetimes, these can be accounted for the second criterion.
Maeda Kengo
Sota Yasuhide
Suzuki Sadaomi
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