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

TL;DR

This paper explores the dynamics and stability of a multi-field cosmological model with hyperbolic field space, providing new solutions and analyzing their late-time behavior, especially for two scalar fields with exponential potential.

Contribution

It introduces a comprehensive analysis of $ $-field cosmology in hyperbolic space, including stability, late-time solutions, and the first general solution for two scalar fields with exponential potential.

Findings

All late-time solutions identified and their stability analyzed

Proved Liouville integrability for two-field exponential potential case

Derived the first general solution in a specific parameter region

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.