Cosmological Sigma Model with Non-Minimal Coupling to the Target Space

TL;DR

This paper explores a cosmological model based on a nonlinear sigma model with non-minimal coupling, analyzing its solutions and potential development directions in the context of homogeneous and isotropic universes.

Contribution

It introduces a two-component nonlinear sigma model with non-minimal coupling to the target space and provides initial solutions and future development perspectives.

Findings

Preliminary solutions for the model are presented.

The model's potential for describing cosmological phenomena is discussed.

Directions for further research are outlined.

Abstract

A homogeneous and isotropic Universe in the framework of nonlinear sigma model with non-minimal coupling to the target space is considered. A two-component model of such a sort is preliminary investigated. Some solutions for this model are given. Perspectives and directions of development of such a sort of models are designated.