Abstract
A homogeneous cosmological model in Kaluza–Klein metric is obtained assuming a time-dependent equation of state. The solution is in fact generalization of an earlier work by Hajj and Boutros for a perfect fluid. It is also found that dimensional reduction of the extra space takes place such that the five-dimensional universe naturally evolves into an effective four-dimensional one. The dynamical behaviour of the model is examined and it is also found that with a decrease in extra space the observable three-dimensional space entropy increase thus accounting for the large value of entropy observable at present.
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Bhui, B., Bhui, B.C. & Rahaman, F. Cosmological Model with a Time-Dependent Equation of State in a Kaluza–Klein Metric. Astrophys Space Sci 299, 61–65 (2005). https://doi.org/10.1007/s10509-005-2798-7
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DOI: https://doi.org/10.1007/s10509-005-2798-7