New Integrable Chiral Cosmological Models with Two Scalar Fields

Abstract

We construct integrable chiral cosmological models with two scalar fields and potentials represented in terms of hyperbolic functions. Using the conformal transformation of the metric and the corresponding models with induced gravity terms, we obtain the general solutions in the spatially flat, open and closed Friedmann universes and the corresponding integrals of motion. The obtained general solutions can be written in terms of the Jacobi elliptic functions of the conformal time.

21 pages, v3: typos corrected, to appear in Phys. Rev. D

References in corpus (14)

• Generating PBHs and small-scale GWs in two-field models of inflation
• Conformal Transformations with Multiple Scalar Fields
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• Universality classes for models of inflation
• On the geometrical interpretation of scale-invariant models of inflation
• Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
• Eternal Universe
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Global integrability of cosmological scalar fields
• Analytical solutions in $R+q{R}^n$ cosmology from singularity analysis
• The Big Bang and Inflation United by an Analytic Solution
• Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Superpotential method and the amplification of inflationary perturbations

Cited by in corpus (1)

• Integrable Cosmological Models with an Arbitrary Number of Scalar Fields