Dynamical system analysis of a five-dimensional cosmological model

被引：4
|
作者：
Arapoglu, A. Savas [1 ]
Yalcinkaya, Ezgi [1 ]
Yukselci, A. Emrah [1 ]
机构：
[1] Istanbul Tech Univ, Dept Phys, TR-34469 Istanbul, Turkey
来源：
ASTROPHYSICS AND SPACE SCIENCE | 2018年 / 363卷 / 10期
关键词：
Cosmology; Early universe; Extra dimensions; Dynamical systems; ACCELERATING UNIVERSE; EXTRA DIMENSIONS; BRANE; COMPACTIFICATION; HIERARCHY;
D O I：
10.1007/s10509-018-3436-5
中图分类号：
P1 [天文学];
学科分类号：
0704 ;
摘要：
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.
引用
收藏
页数：8
相关论文
共 50 条
  • [1] Dynamical system analysis of a five-dimensional cosmological model
    A. Savaş Arapoğlu
    Ezgi Yalçınkaya
    A. Emrah Yükselci
    Astrophysics and Space Science, 2018, 363
  • [2] Five-dimensional cosmological model with variable G and Λ
    Baysal, H.
    Yilmaz, I.
    CHINESE PHYSICS LETTERS, 2007, 24 (08) : 2185 - 2188
  • [3] Comment on 'Five-dimensional cosmological model with variable G and Λ'
    Arbab, Arbab Ibrahim
    CHINESE PHYSICS LETTERS, 2008, 25 (01) : 351 - 351
  • [4] A toy model of the five-dimensional universe with the cosmological constant
    Tarkowski, W
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2004, 19 (29): : 5051 - 5084
  • [5] Dynamical transition and chaos for a five-dimensional Lorenz model
    Zhang, Dongpei
    Deng, Dong
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2022, 45 (03) : 1612 - 1631
  • [6] Five-dimensional cosmological scaling solution
    Chang, BR
    Liu, HY
    Liu, HY
    Xu, LX
    MODERN PHYSICS LETTERS A, 2005, 20 (12) : 923 - 928
  • [7] Scaling dark energy in a five-dimensional bouncing cosmological model
    Xu, LX
    Liu, HY
    INTERNATIONAL JOURNAL OF MODERN PHYSICS D, 2005, 14 (11): : 1947 - 1957
  • [8] Reply to comments on 'Five-dimensional cosmological model with variable g and Λ'
    Baysal, H.
    Yilmaz, I.
    CHINESE PHYSICS LETTERS, 2008, 25 (01) : 352 - 352
  • [9] The evolution of the reconstructing five-dimensional cosmological model with a big bounce
    Wu Ya-Bo
    Lue Jian-Bo
    Li Song
    Yang Xiu-Yi
    ACTA PHYSICA SINICA, 2008, 57 (04) : 2621 - 2626
  • [10] Big bounce singularity of a simple five-dimensional cosmological model
    Xu, LX
    Liu, HY
    Wang, BL
    CHINESE PHYSICS LETTERS, 2003, 20 (07) : 995 - 998
12345