Chaos in Kaluza-Klein models

Details Chaos in Kaluza-Klein models Chaos in Kaluza-Klein models

Sep 1987

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1987cqgra...4l.161e&link_type=abstract

Classical and Quantum Gravity (ISSN 0264-9381), vol. 4, Sept. 1, 1987, p. L161-L167.

Mathematics

14

Astronomical Models, Chaos, Cosmology, Gravitational Collapse, Gravitation Theory, Gravitational Fields, Singularity (Mathematics), Space-Time Functions

Scientific paper

Kaluza-Klein cosmological models are investigated in the vicinity of a spacelike singularity. A new parameterization of the Kasner exponents is given for any spacetime dimension, which reduces the mixmaster dynamics to a combination of a translation and an isometry or a dilating inversion. Using this parameterization, chaos is proven to hold for spacetime dimension n of not greater than 10. For n of not less than 11, the chaotic behavior is shown to become unstable and to be replaced by monotonic Kasner asymptotics.

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