Rotation does not enhance mixing in the mixmaster universe

Details Rotation does not enhance mixing in the mixmaster universe Rotation does not enhance mixing in the mixmaster universe

Sep 1971

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1971cmaph..22..173m&link_type=abstract

Communications in Mathematical Physics, Volume 22, Issue 3, pp.173-189

Mathematics

Mathematical Physics

6

Scientific paper

We investigate closed rotating cosmologies to determine if rotation leads to an enhancement of causal mixing proposed by Misner to guarantee the homogeneity of such models. We conclude that rotation cannot lead to significantly more efficient mixing than occurs in non-rotating models. Since arguments presented by Doroshkevich and Novikov and calculations made by Chitre give very small probability of mixing in nonrotating models, we therefore conclude that a plausible explanation of the homogeneity of the universe cannot be found within the framework of classical General Relativity. Such an explanation may lie in quantum effects on mixing near the singularity.

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