Chaos in Static Axisymmetric Spacetimes I : Vacuum Case

Class.Quant.Grav. 13 (1996) 1241-1260 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 unsta...

Full description

Saved in:

Bibliographic Details
Main Authors:	Sota, Y, Suzuki, S, Maeda, K
Format:	Journal Article
Language:	English
Published:	20-05-1995
Subjects:	Physics - Astrophysics of Galaxies Physics - Chaotic Dynamics Physics - Cosmology and Nongalactic Astrophysics Physics - Earth and Planetary Astrophysics Physics - General Relativity and Quantum Cosmology Physics - High Energy Astrophysical Phenomena Physics - Instrumentation and Methods for Astrophysics Physics - Solar and Stellar Astrophysics
Online Access:	Get full text
Tags:	Add Tag No Tags, Be the first to tag this record!

Description
Summary:	Class.Quant.Grav. 13 (1996) 1241-1260 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.
DOI:	10.48550/arxiv.gr-qc/9505036