Reconstruction of extended inflationary potentials for attractors

Abstract

We give the procedure to reconstruct the extended inflationary potentials for attractors and use the $\alpha$ attractor and the constant-roll model as examples to show how to reconstruct the class of extended inflationary potentials in the strong coupling limit. We also derive the strong coupling condition which the coupling constant $\xi$ satisfies. The class of extended inflationary potentials has the same attractor, and the reconstructed extended inflationary potentials are consistent with the observational constraints. The existence of the attractors from extended inflationary models further challenges the model discrimination just by the observables $n_s$ and $r$.

9 pages, 2 figures. Revisons, epjp in press

References in corpus (43)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• The Standard Model Higgs boson as the inflaton
• The Unity of Cosmological Attractors
• Primordial Black Holes and Slow-Roll Violation
• Single Field Double Inflation and Primordial Black Holes
• New models of chaotic inflation in supergravity
• General inflaton potentials in supergravity
• Primordial black holes and second order gravitational waves from ultra-slow-roll inflation
• Equivalence of the Einstein and Jordan frames
• Ultra slow-roll inflation demystified
• Einstein and Jordan frames reconciled: a frame-invariant approach to scalar-tensor cosmology
• Invariant quantities in the scalar-tensor theories of gravitation
• $f(R)$ constant-roll inflation
• Constant-roll Inflation in $F(R)$ Gravity
• Constant-roll inflation: confrontation with recent observational data
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• A frame independent classification of single field inflationary models
• On the constant-roll inflation
• The attractive behaviour of ultra-slow-roll inflation
• Universality classes for models of inflation
• Constant-Roll (Quasi-)Linear Inflation
• Anisotropic Constant-roll Inflation
• Systematics of Constant Roll Inflation
• Inflation with a Smooth Constant-Roll to Constant-Roll Era Transition
• The Lyth Bound of Inflation with a Tilt
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Reheating in Constant-roll $F(R)$ Gravity
• Constant-roll tachyon inflation and observational constraints
• New perspectives on constant-roll inflation
• Constraints on the spectral index for the inflation models in string landscape
• Nonminimal coupling and inflationary attractors
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• Reconstruction of constant slow-roll inflation
• COSMOS-$e^{\prime }$- soft Higgsotic attractors
• Shortcomings of New Parametrizations of Inflation
• The reconstruction of tachyon inflationary potentials
• Can CMB data constrain the inflationary field range?
• Modified Lyth bound and implications of BICEP2 results
• A model-independent fit to Planck and BICEP2 data
• Gravitational waves and large field inflation
• The observational constraint on constant-roll inflation
• Phenomenological approaches of inflation and their equivalence
• The Simple Single Field Inflation Models and the Running of Spectral Index

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• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• Inflationary Dynamics with a Smooth Slow-Roll to Constant-Roll Era Transition
• Constant-roll tachyon inflation and observational constraints
• $R^p$ Attractors Static Neutron Star Phenomenology
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
• A Nearly Massless Graviton in Einstein-Gauss-Bonnet Inflation with Linear Coupling Implies Constant-roll for the Scalar Field
• Static Neutron Stars Perspective of Quadratic and Induced Inflationary Attractor Scalar-tensor Theories
• Reconstruction of constant slow-roll inflation
• Holographic realization of constant roll inflation and dark energy: An unified scenario
• Observational constraints on inflationary models with non-minimally derivative coupling by ACT
• A Smooth Constant-Roll to a Slow-Roll Modular Inflation Transition
• Cosmic evolution of the logarithmic f(R) model and the dS swampland conjecture
• Approximate reconstruction of inflationary potential with ACT observations
• $\alpha$-attractor from superconformal E-models in brane inflation
• Generalized $R^p$-attractor Cosmology in the Jordan and Einstein Frames: New Type of Attractors and Revisiting Standard Jordan Frame $R^p$ Inflation
• The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials
• Primordial black holes and induced gravitational waves from inflation in the Horndeski theory of gravity
• Holographic inflation and holographic dark energy from entropy of the anti-de Sitter black hole
• $\beta$-function reconstruction of Palatini inflationary attractors
• Inflationary attractors from a non-canonical kinetic term
• Development of generic no-scale inflation
• Inflation from a generalized exponential plateau: towards extra suppressed tensor-to-scalar ratios