Chaos in static axisymmetric spacetimes: I. Vacuum case

Yasuhide Sota, Shingo Suzuki, Keiichi Maeda

    Research output: Contribution to journalArticle

    51 Citations (Scopus)

    Abstract

    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.

    Original languageEnglish
    Pages (from-to)1241-1260
    Number of pages20
    JournalClassical and Quantum Gravity
    Volume13
    Issue number5
    DOIs
    Publication statusPublished - 1996

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    chaos
    vacuum
    orbits
    relativity
    curvature

    ASJC Scopus subject areas

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    Chaos in static axisymmetric spacetimes : I. Vacuum case. / Sota, Yasuhide; Suzuki, Shingo; Maeda, Keiichi.

    In: Classical and Quantum Gravity, Vol. 13, No. 5, 1996, p. 1241-1260.

    Research output: Contribution to journalArticle

    Sota, Yasuhide ; Suzuki, Shingo ; Maeda, Keiichi. / Chaos in static axisymmetric spacetimes : I. Vacuum case. In: Classical and Quantum Gravity. 1996 ; Vol. 13, No. 5. pp. 1241-1260.
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