String Theory and the Early Universe.

Mathematics – Logic

Scientific paper

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Scientific paper

Starting from the 10-dimensional low-energy string effective action for the graviton and dilaton, we study cosmological implications of string theory. We find some solutions for the string equations of motion both in vacuum and with the presence of matter. The scale factors r and R, which can be interpreted as the radii of the universe, tend to evolve in opposite directions: one radius expands and the other shrinks. We also study the flatness problem and propose an alternative solution to this problem. The behaviour of the radii r and R rear the Planck length ({~}10^{-33 }cm) is studied in detail. The significance of our results lies in the fact that in the context of string theory, we may have a good chance of observing several large spatial dimensions, with other internal spatial dimensions remaining small and unobserved from a macroscopic point of view.

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