General Relativity and Gravitation

, Volume 21, Issue 4, pp 349–382 | Cite as

The dynamics of multidimensional cosmological models in the presence of quantum effects. I. The case FRW ×TD at high temperatures

  • Marek Szydłowski
  • Bożena Piekut-Łapeta
Research Articles


The dynamical system approach is applied to the study of dynamics of multidimensional cosmological models with topology FRW ×TD (D-dimensional torus) in the presence of high-temperature quantum effects. The stability methods developed in the paper of Szydłowski (Gen. Rel. Grav.,20, 221, 1988) are used in the analysis of typical states of the metric in the neighborhood of singularities and for large time values. The problems of dynamical dimensional reduction, structure of singularities, isotropization, etc., are discussed in this context.


Dynamical System System Approach Dimensional Reduction Large Time Differential Geometry 
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Copyright information

© Plenum Publishing Corporation 1989

Authors and Affiliations

  • Marek Szydłowski
    • 1
  • Bożena Piekut-Łapeta
    • 1
  1. 1.Astronomical Observatory of the Jagiellonian UniversityKrakówPoland

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