Dynamical dimensional reduction |
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Authors: | Marek Demiański Marek Szydłowski Jerzy Szczesny |
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Institution: | (1) Institute for Theoretical Physics, Warsaw University, Hoza 69, 00681 Warsaw, Poland;(2) Astronomical Observatory, Jagellonian University, ul. Orla 171, 30-059 Kraków, Poland;(3) Institute of Physics, Jagellonian University, ul. Reymonta 4, 30-059 Kraków, Poland |
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Abstract: | 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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