Dynamical dimensional reduction

Details Dynamical dimensional reduction Dynamical dimensional reduction

Nov 1990

adsabs.harvard.edu/cgi-bin/nph-data_query?bibcode=1990gregr..22.1217d&link_type=abstract

General Relativity and Gravitation, Volume 22, Issue 11, pp.1217-1227

Mathematics

Logic

5

Scientific paper

We propose to call a dynamical dimensional reduction effective if the corresponding dynamical system possesses a single attracting critical point representing expanding physical space-time and static internal space. We show that theBV × T D multidimensional cosmological model with a hydrodynamic energy-momentum tensor provides an example of effective dimensional reduction. We also study the dynamics of the multidimensional cosmological model of typeBI × T D with an energy-momentum tensor representing low temperature quantum effects, monopole contribution and the cosmological constant. It turns out that anisotropy and the cosmological constant are crucial for the process of dimensional reduction to be effective. We argue that this is the general property of homogeneous multidimensional cosmological models.

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