Asymptotic behavior of FRW cosmologies with many scalar fields

Physics

Scientific paper

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Particle-Theory And Field-Theory Models Of The Early Universe

Scientific paper

The dynamical evolution of FRW cosmologies conformally coupled to a finite set of scalar fields is studied. The scalar fields interact between them and we also consider a self-interaction term. lt is proved that when k=-1 and k=0 only one physical asymptotic behavior is possible: the radius of the universe expands forever. When k=1 either we have the just described behavior or the universe will ultimately collapse in a finite time. But we also give evidence that an oscillatory chaotic behavior is possible in this case if a fine-tuning between the initial conditions is satisfied.

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