Reconstruction of scalar potentials in two-field cosmological models

TL;DR

This paper explores how to reconstruct scalar potentials in two-field cosmological models, revealing an infinite variety of possibilities and analyzing how initial conditions influence the dynamics.

Contribution

It demonstrates that unlike one-field models, two-field models have infinitely many potential forms for a given evolution, and classifies a broad range of these potentials.

Findings

Infinite potential possibilities in two-field models.

Initial conditions significantly affect cosmological dynamics.

Numerical analysis supports the classification of potentials.

Abstract

We study the procedure of the reconstruction of phantom-scalar field potentials in two-field cosmological models. It is shown that while in the one-field case the chosen cosmological evolution defines uniquely the form of the scalar potential, in the two-field case one has an infinite number of possibilities. The classification of a large class of possible potentials is presented and the dependence of cosmological dynamics on the choice of initial conditions is investigated qualitatively and numerically for two particular models.