Dynamics of Quintessential Inflation

Abstract

In this paper, we study a realistic model of quintessential inflation with radiation and matter. By the analysis of the dynamical system and numerical work about the evolution of the equation of state and cosmic density parameter, we show that this model is a good match for the current astronomical observation. The conclusion we obtain is in favor of the model where the modular part of complex field plays the role of the inflaton whereas the argument part is the quintessence field. The numerical calculation shows that a heteroclinic orbit (solution of dynamical system) which interpolates between early-time de Sitter phase (an unstable critical point) and a late-time de Sitter attractor.

arXiv comment5 pages, 2 figures

References in corpus (30)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Preliminary Maps and Basic Results
• A Phantom Menace? Cosmological consequences of a dark energy component with super-negative equation of state
• Cosmological Constant - the Weight of the Vacuum
• Essentials of k-essence
• The 3D power spectrum of galaxies from the SDSS
• Cosmological Results from High-z Supernovae
• Cosmology with Ultra-light Pseudo-Nambu-Goldstone Bosons
• Quintessential inflation
• Natural Inflation: Particle Physics Models, Power Law Spectra for Large Scale Structure, and Constraints from COBE
• Completing Natural Inflation
• Generalized Chaplygin gas and CMBR constraints
• Extranatural Inflation
• Spintessence! New Models for Dark Matter and Dark Energy
• Pseudonatural Inflation
• Attractor Solution of Phantom Field
• Phantom-like GCG and the constraints of its parameters via cosmological dynamics
• A Quintessential Axion
• Phantom Cosmic Dynamics: Tracking Attractor and Cosmic Doomsday
• Phantom with Born-Infield type Lagrangian
• Phantom Field with O(N) Symmetry in Exponential Potential
• Can the quintessence be a complex scalar field?
• Born-Infeld-type phantom on the brane world
• CMBR Constraint on a Modified Chaplygin Gas Model
• Constructing dark energy models with late time de Sitter attractor
• O(N) quintessence
• Natural Theories of Ultra-Low Mass PNGB's: Axions and Quintessence
• The Tachyon Inflationary Models with Exact Mode Functions
• Gauge Quintessence
• Heteroclinic orbit and tracking attractor in cosmological model with a double exponential potential
• Cosmological dynamics of scalar fields with O(N) symmetry

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• Variable gravity: A suitable framework for quintessential inflation
• Quintessential inflation with canonical and noncanonical scalar fields and Planck 2015 results
• Unification of inflation and dark energy {\it à la} quintessential inflation
• Non-minimal gravitational reheating during kination
• Warm Little Inflaton becomes Dark Energy
• What is needed of a scalar field if it is to unify inflation and late time acceleration ?
• Reconstructing Dark Energy Potentials From Parameterized Deceleration Parameters
• Dark energy in hybrid inflation
• Reheating constraints and the $H_0$ tension in Quintessential Inflation