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Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields

Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields

We explore dynamics of cosmological models with bounce solutions evolving on a spatially flat Friedmann-Lemaître-Robertson-Walker background. We consider cosmological models that contain the Hilbert-Einstein curvature term, the induced gravity term with a negative coupled constant, and even polynomial potentials of the scalar field. Bounce solutions with non-monotonic Hubble parameters have …