On Kaluza-Klein cosmology

Physics

Scientific paper

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Scientific paper

A generalization of Friedmann-Robertson-Walker cosmology to 4 + K dimensions is considered. The space-time manifold R1 × S3 × SK is characterized by two time-dependent scales, R(t) and a(t). The equations of motion for R and a are derived from the 4 + K-dimensional Einstein action supplemented by a one-loop thermal term, corresponding to a gas of non-interacting scalar particles. It is shown that in the approximation when T < 1/a the equations of motion admit a solution in which the internal space has a constant radius a while the external R(t) evolves in the usual manner.

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