Phase space classification of Kaluza-Klein cosmologies.

Mathematics – Logic

Scientific paper

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Cosmology:Kaluza-Klein Theory

Scientific paper

This work provides an analysis of all possible solutions to the Einstein equations for a class of spatially homogeneous vacuum cosmological models with (Robertson-Walker) × (n-sphere) and (Robertson-Walker) × (n-sphere) × (torus) symmetries. Using qualitative theory of dynamical systems it is shown that classical evolution of the models can lead to contraction of the extra dimensions.

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