Curvature and Chaos in General Relativity

Details Curvature and Chaos in General Relativity Curvature and Chaos in General Relativity

1996-08-30

arxiv.org/abs/gr-qc/9609003v1

Class.Quant.Grav. 13 (1996) 3115-3120

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

8 pages, REVTEX, two postscript figures included, to appear in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/13/11/025

We clarify some points about the systems considered by Sota, Suzuki and Maeda in Class. Quantum Grav. 13, 1241 (1996). Contrary to the authors' claim for a non-homoclinic kind of chaos, we show the chaotic cases they considered are homoclinic in origin. The power of local criteria to predict chaos is once more questioned. We find that their local, curvature--based criterion is neither necessary nor sufficient for the occurrence of chaos. In fact, we argue that a merit of their search for local criteria applied to General Relativity is just to stress the weakness of locality itself, free of any pathologies related to the motion in effective Riemannian geometries.

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