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 Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling


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We investigate dynamics of a flat FRW cosmological model with a barotropic matter and a non-minimally coupled scalar field both canonical and phantom. In our approach we do not assume any specific form of a potential function for the scalar field and we are looking for generic scenarios of evolution. We show that dynamics of universe can be reduced to a 3-dimensional dynamical system. We have found the set of fixed points and established their character. These critical points represent all important epochs in evolution of the universe : a a finite scale factor singularity, b an inflation rapid-roll and slow-roll, c a radiation domination, d a matter domination and e a quintessence era. We have shown that the inflation, the radiation and matter domination epochs are transient ones and last for a finite amount of time. The existence of the radiation domination epoch is purely the effect of a non-minimal coupling constant. We show the existence of a twister type solution wandering between all these critical points.



Autor: Orest Hrycyna; Marek Szydlowski

Fuente: https://archive.org/



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