Dynamical system analysis of a five-dimensional cosmological model

A. Savaş Arapoğlu; Ezgi Yalçınkaya; A. Emrah Yükselci

doi:10.1007/s10509-018-3436-5

Dynamical system analysis of a five-dimensional cosmological model

A. Savaş Arapoğlu, Ezgi Yalçınkaya, A. Emrah Yükselci^*

^*Corresponding author for this work

Department of Physics Engineering

Istanbul Technical University

Research output: Contribution to journal › Article › peer-review

4 Citations (Scopus)

Abstract

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.

Original language	English
Article number	215
Journal	Astrophysics and Space Science
Volume	363
Issue number	10
DOIs	https://doi.org/10.1007/s10509-018-3436-5
Publication status	Published - 1 Oct 2018

Bibliographical note

Publisher Copyright:
© 2018, Springer Nature B.V.

Keywords

Cosmology
Dynamical systems
Early universe
Extra dimensions

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10.1007/s10509-018-3436-5

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AU - Yükselci, A. Emrah

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AB - 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.

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KW - Early universe

KW - Extra dimensions

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Dynamical system analysis of a five-dimensional cosmological model

Abstract

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Keywords

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