Global Portraits of Inflation in Nonsingular Variables

Abstract

In the phase space perspective, scalar field slow roll inflation is described by a heteroclinic orbit from a saddle type fixed point to a final attractive point. In many models the saddle point resides in the scalar field asymptotics, and thus for a comprehensive view of the dynamics a global phase portrait is necessary. For this task, in the literature one mostly encounters dynamical variables that either render the initial or the final state singular, thus obscuring the full picture. In this work we construct a hybrid set of variables which allow the depiction of both the initial and final states distinctly in nonsingular manner. To illustrate the method, we apply these variables to portray various interesting types of scalar field inflationary models like metric Higgs inflation, metric Starobinsky inflation, pole inflation, and a nonminimal Palatini model.

minor typos corrected, version submitted to EPJC; 21 pages, 10 figures

References in corpus (28)

• The Standard Model Higgs boson as the inflaton
• BICEP / Keck XIII: Improved Constraints on Primordial Gravitational Waves using Planck, WMAP, and BICEP/Keck Observations through the 2018 Observing Season
• Inflation with Non-Minimal Coupling: Metric vs. Palatini Formulations
• Planck, LHC, and $\alpha$-attractors
• Invariant quantities in the scalar-tensor theories of gravitation
• Cosmological dynamics of Scalar--Tensor Gravity
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Cosmological dynamics of exponential gravity
• On dynamical systems approaches and methods in $f(R)$ cosmology
• On the dynamics of a quadratic scalar field potential
• Non-minimally coupled scalar field cosmology on the phase plane
• Global dynamics and inflationary center manifold and slow-roll approximants
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Scalar-tensor cosmologies: fixed points of the Jordan frame scalar field
• Potential dominated scalar-tensor cosmologies in the general relativity limit: phase space view
• Post-Newtonian parameter $\gamma$ for multiscalar-tensor gravity with a general potential
• Scalar-tensor cosmology at the general relativity limit: Jordan vs Einstein frame
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• Slow-Roll Inflation in the Jordan Frame
• Classes of non-minimally coupled scalar fields in spatially curved FRW spacetimes
• Formalizing Slow-roll Inflation in Scalar-Tensor Theories of Gravitation
• The dynamics of scalar-tensor cosmology from RS two-brane model
• Scalar-tensor cosmologies: general relativity as a fixed point of the Jordan frame scalar field
• The non-minimal coupling constant and the primordial de Sitter state
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Inflationary equilibrium configurations of scalar-tensor theories of gravity
• A new generic and structurally stable cosmological model without singularity

Cited by in corpus (2)

• Post-Newtonian Constraints on Scalar-Tensor Gravity
• $f(R,\mathcal{G})$-cosmological dynamics in the FLRW background