Scalar Field Cosmologies With Inverted Potentials
arXiv:1507.00792 · doi:10.1088/1475-7516/2015/10/033
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.
18 pages, 4 figures
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- Bouncing Universes in Scalar-Tensor Gravity Around Conformal Invariance
- Integrable modified gravity cosmological models with an additional scalar field
- Bouncing Cosmological Isotropic Solutions in Scalar-Tensor Gravity
- General solutions of integrable cosmological models with non-minimal coupling
- Singularity crossing, transformation of matter properties and the problem of parametrization in field theories
- Bouncing and collapsing universes dual to late-time cosmological models
- Integrable cosmological models with non-minimal coupling and bounce solutions