Behavior of homogeneous five-dimensional space-times

Details Behavior of homogeneous five-dimensional space-times Behavior of homogeneous five-dimensional space-times

Jan 1986

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1986phrvd..33..354h&link_type=abstract

Physical Review D (Particles and Fields), Volume 33, Issue 2, 15 January 1986, pp.354-362

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27

Field Theories In Dimensions Other Than Four

Scientific paper

The set of all spatially homogeneous (4+1)-dimensional cosmologies will be explored. We will utilize a classification of these space-times based on the actions of isometry groups on these manifolds. Several exact solutions of the Einstein equations will be derived. The possibilities of dimensional reduction and isotropization will be examined. Five-dimensional generalizations of the mixmaster universe will be developed. Finally, the Einstein equations in 4+1 dimensions will be viewed as a Hamiltonian system. The absence of chaotic solutions to these equations will be shown.

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