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 (63)

• Late-time cosmology in (phantom) scalar-tensor theory: dark energy and the cosmic speed-up
• Cosmic Evolution in a Cyclic Universe
• Ekpyrotic and Cyclic Cosmology
• Crossing of the w=-1 Barrier by D3-brane Dark Energy Model
• Designing Cyclic Universe Models
• Generating PBHs and small-scale GWs in two-field models of inflation
• Conformal Transformations with Multiple Scalar Fields
• Exact solution of scalar field cosmology with exponential potentials and transient acceleration
• Scalaron the healer: removing the strong-coupling in the Higgs- and Higgs-dilaton inflations
• First-order formalism and dark energy
• Antigravity and the big crunch/big bang transition
• Exactly Solvable SFT Inspired Phantom Model
• Arbitrary scalar field and quintessence cosmological models
• Integrable Scalar Cosmologies I. Foundations and links with String Theory
• Hybrid $\alpha$-attractors, primordial black holes and gravitational wave backgrounds
• Primordial Black Holes from Multifield Inflation with Nonminimal Couplings
• Hamilton-Jacobi method for Domain Walls and Cosmologies
• Universality classes for models of inflation
• On the geometrical interpretation of scale-invariant models of inflation
• Integrable cosmological models with non-minimally coupled scalar fields
• Transformations between Jordan and Einstein frames: Bounces, antigravity, and crossing singularities
• Sailing through the big crunch-big bang transition
• Primordial black hole dark matter in dilaton-extended two-field Starobinsky inflation
• General solution of scalar field cosmology with a (piecewise) exponential potential
• Geodesically Complete Analytic Solutions for a Cyclic Universe
• Bouncing Universes in Scalar-Tensor Gravity Models admitting Negative Potentials
• Complete Set of Homogeneous Isotropic Analytic Solutions in Scalar-Tensor Cosmology with Radiation and Curvature
• Exact Solutions in Chiral Cosmology
• Classification of the Horndeski cosmologies via Noether Symmetries
• Occurrence of Tachyonic Preheating in the Mixed Higgs-$R^2$ Model
• Eternal Universe
• Reconstruction of Scalar Potentials in Modified Gravity Models
• Global integrability of cosmological scalar fields
• Stable Exact Solutions in Cosmological Models with Two Scalar Fields
• Attractors, Bifurcations and Curvature in Multi-field Inflation
• Induced gravity, and minimally and conformally coupled scalar fields in Bianchi-I cosmological models
• Construction of Exact Solutions in Two-Fields Models and the Crossing of the Cosmological Constant Barrier
• Interdependence between integrable cosmological models with minimal and non-minimal coupling
• Analytical solutions in $R+q{R}^n$ cosmology from singularity analysis
• The Big Bang and Inflation United by an Analytic Solution
• Superpotential method for chiral cosmological models connected with modified gravity
• Hamilton-Jacobi Mechanics from Pseudo-Supersymmetry
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Current observations with a decaying cosmological constant allow for chaotic cyclic cosmology
• Non-minimally Coupled Cosmological Models with the Higgs-like Potentials and Negative Cosmological Constant
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• On calculation of the cosmological parameters in exact models of inflation
• Integrable Scalar Cosmologies II. Can they fit into Gauged Extended Supergavity or be encoded in N=1 superpotentials?
• Bouncing Universes in Scalar-Tensor Gravity Around Conformal Invariance
• Integrable modified gravity cosmological models with an additional scalar field
• Construction of solutions for the generalized Henon-Heiles system with the help of the Painleve test
• $\mathcal{N}$-field cosmology in hyperbolic field space: stability and general solutions
• Superpotential method for $F(R)$ cosmological models
• Integrable cosmological models in the Einstein and in the Jordan frames and Bianchi-I cosmology
• Superpotential method and the amplification of inflationary perturbations
• General solutions to $\mathcal{N}$-field cosmology with exponential potentials
• Integrable Cosmological Potentials
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• New exact solutions in multi-scalar field cosmology
• Integrable scalar cosmologies with matter and curvature
• New analytic solutions in $f\left(R\right)$-Cosmology from Painlevé analysis
• Variational symmetries and superintegrability in multifield cosmology
• Anisotropic solutions for $R^2$ gravity model with a scalar field

Cited by in corpus (1)

• Integrable Cosmological Models with an Arbitrary Number of Scalar Fields