Bifurcations in Ratra-Peebles quintessence models and their extensions

Abstract

We have used the dynamical system approach in order to investigate the dynamics of cosmological models of the flat Universe with a non-minimally coupled canonical and phantom scalar field and the Ratra-Peebles potential. Applying methods of the bifurcation theory we have found three cases for which the Universe undergoes a generic evolution emerging from either the deSitter or the static Universe state and finishing at the deSitter state, without the presence of the initial singularity. This generic class of solutions explains both the inflation and the late-time acceleration of the Universe. In this class inflation is an endogenous effect of dynamics itself.

LaTeX, 25 pages, 16 figures

References in corpus (12)

• Dynamical systems applied to cosmology: dark energy and modified gravity
• Instant Preheating in Quintessential Inflation with $\alpha$-Attractors
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Emergent de Sitter Cosmology from Decaying AdS
• Unification of inflation and dark energy {\it à la} quintessential inflation
• Extended Quintessence with non-minimally coupled phantom scalar field
• Non-minimally coupled scalar field cosmology on the phase plane
• Rapid roll Inflation with Conformal Coupling
• Coupling constant constraints in a nonminimally coupled phantom cosmology
• The observational constraints on the flat $\varphi$CDM models
• Structural instability of Friedmann-Robertson-Walker cosmological models
• Towards generic cosmological evolution without singularity and fundamental symmetry of space-time

Cited by in corpus (7)

• Generalized Scalar Field Cosmologies: A Global Dynamical Systems Formulation
• Generalized scalar field cosmologies: theorems on asymptotic behavior
• Time-averaging axion-like interacting scalar fields models
• Averaging Generalized Scalar Field Cosmologies I: Locally Rotationally Symmetric Bianchi III and open Friedmann-Lemaître-Robertson-Walker models
• The non-minimal coupling constant and the primordial de Sitter state
• Cosmological dynamics and bifurcation analysis of the general non-minimally coupled scalar field models
• Dynamical system analysis of quintessence dark energy model