Dynamical system analysis of a five-dimensional cosmological model

Arapoğlu A. S. , Yalçınkaya E. , Yükselci A. E.

ASTROPHYSICS AND SPACE SCIENCE, vol.363, no.10, 2018 (Journal Indexed in SCI) identifier identifier

  • Publication Type: Article / Article
  • Volume: 363 Issue: 10
  • Publication Date: 2018
  • Doi Number: 10.1007/s10509-018-3436-5
  • Keywords: Cosmology, Early universe, Extra dimensions, Dynamical systems, ACCELERATING UNIVERSE, EXTRA DIMENSIONS, BRANE, COMPACTIFICATION, HIERARCHY


A five-dimensional cosmological model including a single perfect fluid is studied in the framework of dynamical system analysis. All the critical points of the system are listed with their stability properties and some representative phase diagrams are explicitly shown. It is found that the stabilization of extra dimension is possible and the observed flatness of the three-dimensional space is provided for certain ranges of the equation of state parameter of the fluid. The model suggested here can be considered as a simplified model for examining the possible effects of the extra dimensions in the early universe.