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Phase space classification of Kaluza-Klein cosmologies

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Abstract

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 we show that classical evolution of the models can lead to contraction of the extra dimensions.

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Authors and Affiliations

  1. Cracow Group of Cosmology, Academy of Agriculture, Mickiewicza 21, 31-120, Kraków, Poland

    Pawel Turkowski

  2. Cracow Group of Cosmology, Polish Academy of Sciences, N. Copernicus Astronomical Centre, Orla 171, 30-244, Kraków, Poland

    Krzysztof Maślanka

Authors
  1. Pawel Turkowski
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  2. Krzysztof Maślanka
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Turkowski, P., Maślanka, K. Phase space classification of Kaluza-Klein cosmologies. Gen Relat Gravit 19, 611–621 (1987). https://doi.org/10.1007/BF00762557

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  • DOI: https://doi.org/10.1007/BF00762557

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