General solution of a cosmological model induced from higher dimensions using a kinematical constraint

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 ($n=3$). Here we derive a general solution of the system using Lie group symmetry properties, in parametric form for arbitrary number $n=1,2,3,\dots$ of internal dimensions. We also investigate the dynamical reduction of the model as a function of cosmic time $t$ for various values of $n$ and generate parametric plots to discuss cosmologically relevant results.

arXiv comment19 pages, 19 figures, matches the version published in General Relativity and Gravitation

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Cited by in corpus (4)

• Inflation and Acceleration of the Universe by Nonlinear Magnetic Monopole Fields
• Phase space analysis of the bouncing universe with stringy effects
• $\Lambda$CDM cosmology with a quiescent anisotropy in a higher dimensional steady state universe
• Role of internal space correlations in the dynamics of a higher-dimensional Bianchi type-I universe: shear scalar and Hubble parameter perspectives