On the dynamics of a quadratic scalar field potential

Abstract

We review the attractor properties of the simplest chaotic model of inflation, in which a minimally coupled scalar field is endowed with a quadratic scalar potential. The equations of motion in a flat Friedmann-Robertson-Walker universe are written as an autonomous system of equations, and the solutions of physical interest appear as critical points. This new formalism is then applied to the study of inflation dynamics, in which we can go beyond the known slow-roll formalism of inflation.

14 pages, 6 eps figures, matches version to appear in IJMPD

References in corpus (6)

• Wilkinson Microwave Anisotropy Probe (WMAP) Three Year Results: Implications for Cosmology
• Dynamics of dark energy
• On what scale should inflationary observables be constrained?
• The WMAP normalization of inflationary cosmologies
• Can we ever distinguish between quintessence and a cosmological constant?
• Quasiattractor dynamics of lambda-phi^4-inflation

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• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Introduction to the number of $e$-folds in slow-roll inflation
• Reconstruction of the dark energy scalar field potential by Gaussian process
• Dynamics of Mixed Dark Energy Domination in Teleparallel Gravity and Phase-Space Analysis
• Inflationary equilibrium configurations of scalar-tensor theories of gravity
• Model-Independent Reconstruction of Quintessence Potential and Kinetic Energy from DESI DR2 and Pantheon+ Supernovae
• Reconstruction of the scalar field potential in nonmetricity gravity through Gaussian processes
• Coupling q-deformed dark energy to dark matter
• Global Portraits of Inflation in Nonsingular Variables
• A macroscopic view to the standard cosmological model
• Global portraits of nonminimal inflation
• Reconstruction of a dark energy model for the Dirac-Born-Infeld scalar field with the Hubble and DESI data via Gaussian process
• Interacting dark matter and q-deformed dark energy non-minimally coupled to gravity