Quantum cosmology of the superstring universe

Physics

Scientific paper

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Scientific paper

We study the quantum cosmology of the string universe obtained by embedding the Robertson-Walker metric in the non-linear model of Antoniadis, Bachas, Ellis and Nanopoulos (ABEN). We find that the quantum model has some unusual features not seen in the classical model. Initially, the universe exists in a series of metastable bound states with scale factor taking discrete values. Then the universe tunnels through a barrier and comes out in an inflationary state. This tunneling (or evolution in imaginary time) also has the effect of heating up the matter field so that we have the conditions of chaotic inflation. Our asymptotic solutions agree with those obtained from the classical Einstein equations by ABEN.

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