Abstract
In a recent study Akarsu and Dereli (Gen. Relativ. Gravit. 45:1211, 2013) discussed the dynamical reduction of a higher dimensional cosmological model which is augmented by a kinematical constraint characterized by a single real parameter, correlating and controlling the expansion of both the external (physical) and internal spaces. In that paper explicit solutions were found only for the case of three dimensional internal space ($$n=3$$n=3). Here we derive a general solution of the system using Lie group symmetry properties, in parametric form for arbitrary number $$n=1,2,3,\ldots $$n=1,2,3,… of internal dimensions. We also investigate the dynamical reduction of the model as a function of cosmic time $$t$$t for various values of $$n$$n and generate parametric plots to discuss cosmologically relevant results.
| Original language | English |
|---|---|
| Pages (from-to) | 1-25 |
| Number of pages | 25 |
| Journal | General Relativity and Gravitation |
| Volume | 47 |
| Issue number | 5 |
| DOIs | |
| Publication status | Published - 1 May 2015 |
| Externally published | Yes |
Bibliographical note
Publisher Copyright:© 2015, Springer Science+Business Media New York.
Funding
Ö.A. acknowledges the support by TÜBİTAK Research Fellowship for Post-Doctoral Researchers (2218). Ö.A. and T.D. acknowledge the support from Koç University. N. Katırcı thanks Boğaziçi University for the financial support provided by the Scientific Research Fund with BAP project no: 7128. The research of M.B. Sheftel was supported in part by the research grant from Boğaziçi University Scientific Research Fund (BAP), research project No. 6324.
| Funders | Funder number |
|---|---|
| Scientific Research Fund | 6324, 7128 |
| TÜBİTAK | |
| Boğaziçi Üniversitesi | |
| Koç Üniversitesi |
Keywords
- Accelerated expansion
- Dynamical reduction of internal dimensions
- Kaluza–Klein cosmology