Effective action and cosmological evolution of scale factors in higher-dimensional curved spacetime

Physics

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Scientific paper

The quantum effective action is computed at finite temperatures in a Robertson-Walker type of metric suggested in Kaluza-Klein theories. The most interesting result is that above a critical temperature the effective gravitational constant becomes negative if the extra dimension is large enough. This provides a mechanism for the bounce from a contracting phase and may explain how the extra space has decoupled from the general expansion. The bounce mechanism also leads to a picture of the recycling universe, in which entropy produced after many cycles of expansion and contraction may solve the horizon and the flatness problem of the standard cosmology.

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