Scalar field cosmologies with inverted potentials

Journal Article · Thu Oct 01 00:00:00 EDT 2015 · Journal of Cosmology and Astroparticle Physics

DOI:https://doi.org/10.1088/1475-7516/2015/10/033· OSTI ID:22525245

Boisseau, B.; Giacomini, H. ^[1]

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1. Université de Tours, Laboratoire de Mathématiques et Physique Théorique, CNRS/UMR 7350, 37200 Tours (France)

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.

• OSTI ID: 22525245
• Journal Information: Journal of Cosmology and Astroparticle Physics, Vol. 2015, Issue 10; Other Information: Country of input: International Atomic Energy Agency (IAEA); ISSN 1475-7516
• Country of Publication: United States
• Language: English

Related Subjects

79 ASTROPHYSICS
COSMOLOGY AND ASTRONOMY
COSMOLOGICAL MODELS
COSMOLOGY
DE SITTER SPACE
GENERAL RELATIVITY THEORY
GRAVITATION
INTEGRAL CALCULUS
MATHEMATICAL SOLUTIONS
POTENTIALS
SCALAR FIELDS
SCALARS
SINGULARITY
TENSORS