Abstract
Kaluza-Klein cosmological models are investigated in the vicinity of a spacelike singularity. A new parametrisation 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 parametrisation, chaos is proven to hold for spacetime dimension n <= 10. For n >= 11, the chaotic behaviour is shown to become unstable and to be replaced by monotonic Kasner asymptotics. These results explicitly establish conjectures formulated in previous work.
Citation Formats
Elskens, Yves, and Henneaux, Marc.
Chaos in Kaluza-Klein models.
United Kingdom: N. p.,
1987.
Web.
doi:10.1088/0264-9381/4/5/002.
Elskens, Yves, & Henneaux, Marc.
Chaos in Kaluza-Klein models.
United Kingdom.
https://doi.org/10.1088/0264-9381/4/5/002
Elskens, Yves, and Henneaux, Marc.
1987.
"Chaos in Kaluza-Klein models."
United Kingdom.
https://doi.org/10.1088/0264-9381/4/5/002.
@misc{etde_5925569,
title = {Chaos in Kaluza-Klein models}
author = {Elskens, Yves, and Henneaux, Marc}
abstractNote = {Kaluza-Klein cosmological models are investigated in the vicinity of a spacelike singularity. A new parametrisation 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 parametrisation, chaos is proven to hold for spacetime dimension n <= 10. For n >= 11, the chaotic behaviour is shown to become unstable and to be replaced by monotonic Kasner asymptotics. These results explicitly establish conjectures formulated in previous work.}
doi = {10.1088/0264-9381/4/5/002}
journal = []
volume = {4:5}
journal type = {AC}
place = {United Kingdom}
year = {1987}
month = {Sep}
}
title = {Chaos in Kaluza-Klein models}
author = {Elskens, Yves, and Henneaux, Marc}
abstractNote = {Kaluza-Klein cosmological models are investigated in the vicinity of a spacelike singularity. A new parametrisation 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 parametrisation, chaos is proven to hold for spacetime dimension n <= 10. For n >= 11, the chaotic behaviour is shown to become unstable and to be replaced by monotonic Kasner asymptotics. These results explicitly establish conjectures formulated in previous work.}
doi = {10.1088/0264-9381/4/5/002}
journal = []
volume = {4:5}
journal type = {AC}
place = {United Kingdom}
year = {1987}
month = {Sep}
}