Construction of exact solutions in two-field cosmological models

2006/12/31 by S. Yu. Vernov · 4 citations
Mathematics · Physics and Astronomy · #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Dark Matter and Cosmic Phenomena #Dark energy #Energy condition #Exact solutions in general relativity #Geometry #Mathematical physics #Mathematics #Physics #Quantum mechanics #Scalar (mathematics) #Scalar field #String (physics) #String field theory #Superpotential #Supersymmetry #Theoretical physics #astro-ph #gr-qc #hep-th #math-ph #math.MP #nlin.PS

paper · pdf · doi:10.1007/s11232-008-0045-4

published as Teor.Mat.Fiz. 155:47-61,2008; Theor.Math.Phys.155:544-556,2008 · LaTeX, 18 pages, 3 figures, references added, accepted for publication in Theor. Math. Phys

arxiv created 2007/10/09 · openalex publication_date 2008/04/01 · arxiv updated 2010/12/03 · openalex created_date 2021/02/01 · openalex updated_date 2026/08/05

Abstract

A dark energy model with a phantom scalar field, an usual scalar field and the string field theory inspired polynomial potential has been constructed. A two-parameter set of exact solutions to the Friedmann equations has been found. We have constructed such string inspired potential that some exact solutions correspond to the state parameter w_DE>-1 at large time, whereas other ones correspond to w_DE<-1 at large time. We demonstrate that the superpotential method is very effective to seek new exact solutions. We also present a two-fields model with a polynomial potential and the state parameter, which crosses the cosmological barrier infinitely often.

Citations

• First-order formalism for scalar field in cosmology
• A Review on Tachyon Condensation in Open String Field Theories
• Energy Flow from Open to Closed Strings in a Toy Model of Rolling Tachyon
• Thermodynamical properties of dark energy
• Cosmological evolution of a quintom model of dark energy
• Reconstructing Dark Energy
• Observational Evidence from Supernovae for an Accelerating Universe and a Cosmological Constant
• Complex Lagrangians and phantom cosmology
• First-order formalism and dark energy
• First‐Year Wilkinson Microwave Anisotropy Probe ( WMAP ) Observations: Determination of Cosmological Parameters
• Dynamics of dark energy
• Non-standard compactifications with mass gaps and Newton's law
• Reconstruction of the deceleration parameter and the equation of state of dark energy

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• Complete cosmological model based on an asymmetric scalar Higgs doublet