Chaos in static axisymmetric spacetimes: I. Vacuum case

Yasuhide Sota, Shingo Suzuki, Kei Ichi Maeda

研究成果: Article査読

57 被引用数 (Scopus)

抄録

We study the motion of a test particle in static axisymmetric vacuum spacetimes and discuss two criteria for strong chaos to occur: (i) a local instability measured by the Weyl curvature, and (ii) a tangle of a homoclinic orbit, which is closely related to an unstable periodic orbit in general relativity. We analyse 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 behaviour in some spacetimes, these can be accounted for by the second criterion.

本文言語English
ページ(範囲)1241-1260
ページ数20
ジャーナルClassical and Quantum Gravity
13
5
DOI
出版ステータスPublished - 1996

ASJC Scopus subject areas

  • 物理学および天文学(その他)

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