Cosmological twinlike models with multi scalar fields

TL;DR

This paper demonstrates how to construct twinlike cosmological models with multiple scalar fields, including noncanonical types and nonzero spatial curvature, using an extended superpotential method.

Contribution

It extends the superpotential method to multi-field cosmological models with nonzero curvature, enabling the creation of twinlike models for complex scalar field configurations.

Findings

Twinlike models can be constructed for multi-field cosmologies.

The method applies to both canonical and noncanonical scalar fields.

Models can include nonzero spatial curvature.

Abstract

We consider cosmological models driven by several canonical or noncanonical scalar fields. We show how the superpotential method enables one to construct twinlike models for a particular canonical model from some noncanonical ones. We conclude that it is possible to construct twinlike models for multi-field cosmological models, even when the spatial curvature is nonzero. This work extends the discussions of [D. Bazeia and J. D. Dantas, Phys. Rev. D, 85 (2012) 067303] to cases with multi scalar fields and with non-vanished spatial curvature, by using a different superpotential method.