The Qualitative and Numerical Analysis of the Cosmological Model Based on Phantom Scalar Field with Self

TL;DR

This paper analyzes the asymptotic behavior of cosmological models with phantom scalar fields, revealing stable solutions with constant potential in the infinite past and future, supported by qualitative and numerical analysis.

Contribution

It introduces a qualitative and numerical analysis of phantom scalar field cosmological models, highlighting their stable asymptotic solutions unlike classical models.

Findings

Models have stable asymptotic solutions with constant potential.

Numerical simulations confirm the qualitative analysis.

Distinct behavior compared to classical scalar field models.

Abstract

In this paper we investigate the asymptotic behavior of the cosmological model based on phantom scalar field on the ground of qualitative analysis of the system of the cosmological model's differential equations and show that as opposed to models with classical scalar field, such models have stable asymptotic solutions with constant value of the potential both in infinite past and infinite future. We also develop numerical models of the cosmological evolution models with phantom scalar field in this paper. {\bf keywords}: cosmological model, phantom scalar field, quality analysis, asymptotic behavior, numerical simulation, numerical gravitation.\\ {\bf PACS}: 04.20.Cv, 98.80.Cq, 96.50.S 52.27.Ny