Scalar field cosmologies with inverted potentials

Abstract : Regular bouncing solutions in the framework of a scalar-tensor gravity model were found in a recent work. We reconsider the problem in the Einstein frame (EF) in the present work. Singularities arising at the limit of physical viability of the model in the Jordan frame (JF) are either of the Big Bang or of the Big Crunch type in the EF. As a result we obtain integrable scalar field cosmological models in general relativity (GR) with inverted double-well potentials unbounded from below which possess solutions regular in the future, tending to a de Sitter space, and starting with a Big Bang. The existence of the two fixed points for the field dynamics at late times found earlier in the JF becomes transparent in the EF.
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Submitted on : Wednesday, February 3, 2016 - 3:35:58 PM
Last modification on : Thursday, April 11, 2019 - 1:17:14 AM

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Bruno Boisseau, Hector Giacomini, David Polarski. Scalar field cosmologies with inverted potentials. Journal of Cosmology and Astroparticle Physics, Institute of Physics (IOP), 2015, ⟨10.1088/1475-7516/2015/10/033⟩. ⟨hal-01266923⟩

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