A multidimensional extension of the Bianchi type-IX cosmology

Details A multidimensional extension of the Bianchi type-IX cosmology A multidimensional extension of the Bianchi type-IX cosmology

Jun 1988

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1988phlb..207...36t&link_type=abstract

Physics Letters B, Volume 207, Issue 1, p. 36-38.

Physics

6

Scientific paper

A higher-dimensional homogeneous spacetime is investigated satisfying the vacuum Einstein equations. It is assumed that the algebra of Killing vectors L admits a non-trivial Levi decomposition L = N otimsl so(3), i.e. that the subalgebras N and so(3) do not commute. It is found that the model behaves in a non-chaotic way and cosmological dimensional reduction inevitably occurs. This model completes all the possible types within the class of higher-dimensional extensions of Bianchi type-IX cosmology.

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