Dynamical system analysis of a five-dimensional cosmological model

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

ASTROPHYSICS AND SPACE SCIENCE, cilt.363, sa.10, 2018 (SCI-Expanded) identifier identifier

  • Yayın Türü: Makale / Tam Makale
  • Cilt numarası: 363 Sayı: 10
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1007/s10509-018-3436-5
  • Dergi Adı: ASTROPHYSICS AND SPACE SCIENCE
  • Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Anahtar Kelimeler: Cosmology, Early universe, Extra dimensions, Dynamical systems, ACCELERATING UNIVERSE, EXTRA DIMENSIONS, BRANE, COMPACTIFICATION, HIERARCHY
  • İstanbul Teknik Üniversitesi Adresli: Evet

Özet

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.