Qualitative and Numerical Analysis of the Cosmological Model with a Phantom Scalar Field

2016/10/14 by Yu. G. Ignatyev, Yu. G. Ignat'ev, A. A. Agathonov · 10 citations
Engineering · Mathematics · Physics and Astronomy · #Cosmological model #Cosmology and Gravitation Theories #Differential Equations and Boundary Problems #Field (mathematics) #Imaging phantom #Material Science and Thermodynamics #Numerical analysis #Numerical models #Scalar (mathematics) #Scalar field #gr-qc

paper · pdf · doi:10.1007/s11182-017-1016-8

published in Russian Physics Journal 59(12), 2074-2079 (Springer Science+Business Media) · 12 pages, 12 figures, 12 references

arxiv created 2016/10/14 · openalex publication_date 2017/04/01 · arxiv updated 2017/04/26 · openalex created_date 2017/04/28 · openalex updated_date 2026/08/05

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

Citations

• Cosmological evolution of plasma with scalar interparticle interaction. I. Canonical formulation of classical scalar interaction
• Cosmological evolution of the plasma with interparticle scalar interaction. III. Model with attraction of like-charged scalar particles
• Cosmological evolution of statistical system of scalar charged particles

Cited by

• Complete cosmological model based on an asymmetric scalar Higgs doublet