$\mathcal{N}$-field cosmology in hyperbolic field space: stability and general solutions

Abstract

We study the dynamics of a cosmological model with a perfect fluid and $\mathcal{N}$ fields on a hyperbolic field space interacting via a symmetric potential. We list all late-time solutions, investigate their stability and briefly discuss predictions of the theory. Moreover, for the case of two scalar fields and an exponential potential we prove that the field equations are Liouville integrable and we provide for the first time the general solution for a region of the parameter space.

arXiv commentv2: refs added and small rearrangements to match published version; v1: 14 pages, 7 figures

References in corpus (38)

• Quintom Cosmology: Theoretical implications and observations
• Adiabatic and entropy perturbations from inflation
• Conditions for the cosmological viability of f(R) dark energy models
• Cosmological perturbations
• Hubble Sinks In The Low-Redshift Swampland
• Cosmological Solutions of $f(T)$ Gravity
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Using the Noether symmetry approach to probe the nature of dark energy
• Quintom cosmologies with arbitrary potentials
• Hyperinflation
• Constraints and analytical solutions of $f(R)$ theories of gravity using Noether symmetries
• Primordial perturbations from inflation with a hyperbolic field-space
• Scaling attractors in multi-field inflation
• Hyper non-Gaussianities in inflation with strongly non-geodesic motion
• Hyperinflation generalised: from its attractor mechanism to its tension with the `swampland conjectures'
• Out of the Swampland with Multifield Quintessence?
• Dynamics of a two scalar field cosmological model with phantom terms
• Exact Solutions in Chiral Cosmology
• Accelerating universe in scalar tensor models - confrontation of theoretical predictions with observations
• New accelerating solutions in late-time cosmology
• Dynamical system analysis at background and perturbation levels: Quintessence in severe disadvantage comparing to $\Lambda$CDM
• Noether analysis of Scalar-Tensor Cosmology
• Multifield inflation beyond $N_{\mathrm{field}}=2$: non-Gaussianities and single-field effective theory
• Mild Non-Gaussianities under Perturbative Control from Rapid-Turn Inflation Models
• Multi-field Inflation in High-Slope Potentials
• Static Spherically Symmetric Einstein-aether models I: Perfect fluids with a linear equation of state and scalar fields with an exponential self-interacting potential
• Constraints on holographic multi-field inflation and models based on the Hamilton-Jacobi formalism
• Cosmological Solutions in Multiscalar Field Theory
• Dynamics of Chiral Cosmology
• The Multi-Field, Rapid-Turn Inflationary Solution
• Non-Gaussianities in models of inflation with large and negative entropic masses
• De-Sitter nonlinear sigma model and accelerating universe
• Exact Scalar-Tensor Cosmological Solutions via Noether Symmetry
• Asymptotic behavior of $N$-fields Chiral Cosmology
• Observational constraints on Hyperinflation
• Anisotropic chiral cosmology: exact solutions
• Asymptotic Poincaré compactification and finite-time singularities

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• New Anisotropic Exact Solution in Multifield Cosmology
• Hyperbolic inflation in the Jordan frame
• Variational symmetries and superintegrability in multifield cosmology
• Asymptotic behavior of saxion-axion system in stringy quintessence model
• Generalised conditions for rapid-turn inflation
• New Integrable Chiral Cosmological Models with Two Scalar Fields
• Eisenhart-Duval lift, Nonlocal Conservation laws and Painlevé Analysis in Scalar field Cosmology