Multidimensional cosmological world models as two-dimensional dynamical systems

Physics

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Scientific paper

We investigate the dynamics of two kinds of multidimensional cosmological models: (1) FRW (K=+/-1)×TD and (2) FRW (K=0)×SD, with the hydrodynamical energy-momentum tensor Tμv=diag(ϱ, mϱ, mϱ, nϱ, ..., nϱ). It is shown that a full classification of these models on the two-dimensional phase-space is possible. Phase-portraits allow a simple discussion of various dynamical effects of extra dimensions.

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