Qualitative Analysis of the Dynamics of a Two-Component Chiral Cosmological Model

• Main Authors: Viktor Zhuravlev, Sergey Chervon
• Format: Article
• Language: English
• Published: MDPI AG 2020-10-01
• Series: Universe
• Subjects: chiral cosmology; dynamical system; qualitative analysis; critical points
• Online Access: https://www.mdpi.com/2218-1997/6/11/195

We present a qualitative analysis of chiral cosmological model (CCM) dynamics with two scalar fields in the spatially flat Friedman–Robertson–Walker Universe. The asymptotic behavior of chiral models is investigated based on the characteristics of the critical points of the selfinteraction potential and zeros of the metric components of the chiral space. The classification of critical points of CCMs is proposed. The role of zeros of the metric components of the chiral space in the asymptotic dynamics is analysed. It is shown that such zeros lead to new critical points of the corresponding dynamical systems. Examples of models with different types of zeros of metric components are represented.