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

Abstract

We explore dynamics of cosmological models with bounce solutions evolving on a spatially flat Friedmann-Lemaitre-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 been obtained and analyzed. The case when the scalar field has the conformal coupling and the Higgs-like potential with an opposite sign is studied in detail. In this model the evolution of the Hubble parameter of the bounce solution essentially depends on the sign of the cosmological constant.

26 pages, 10 figures, v3: Section 6 and references added, accepted for publication in JCAP

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• Generalized scalar-tensor theory of gravity reconstruction from physical potentials of a scalar field
• Bouncing Cosmological Isotropic Solutions in Scalar-Tensor Gravity
• Inflationary Dynamics of Mutated Hilltop Inflation in Einstein-Gauss-Bonnet Gravity Under New Slow-Roll Approximations with Generalised Reheating
• Superpotential method and the amplification of inflationary perturbations
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• Global Portraits of Inflation in Nonsingular Variables
• Global portraits of nonminimal inflation
• New Integrable Chiral Cosmological Models with Two Scalar Fields
• A note on the arrow of time in nonminimally coupled scalar field FRW cosmology
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background