Analytical Insights into Constant-Roll Condition: Extending the Paradigm to Non-Canonical Models

Abstract

In this work, we explore the prospect of generalizing the constant-roll condition in canonical inflationary model to non-canonical models. To find a natural generalization, we focus on three manifestations of this condition and construct constant-roll models corresponding to each manifestation. These models are not equivalent but reduce to the familiar constant-roll model in canonical limit. To showcase the applicability of our generalized mechanism, we examine a specific class of non-canonical models, which can be viewed as extensions of k/G inflation. In these models sound speed is constant. We conduct a comparative study, and with an analytical examination of the model, specify instances when our constant-roll conditions yield dissimilar outcomes and when they exhibit analogies. We also apply our findings to scrutinize another kinetically driven inflationary model with varying sound speed. We demonstrate that each of our constant-roll conditions leads to a unique set of solutions. Afterward, we construct a four-stage constant-roll kinetically driven inflation that complies with CMB constraints, it sustains for a sufficiently long period of time, and finally gracefully exits. In this model the spectrum of curvature perturbations is enhanced in a brief phase of non-slow-roll inflationary evolution. Employing numerical methods, we analyse this scenario to elucidate how altering the constant-roll condition impacts the power spectrum and the model's dynamics.

40 pages, 12 figures; v3, JCAP version

References in corpus (64)

• Non-Gaussian features of primordial fluctuations in single field inflationary models
• Planck 2018 results. X. Constraints on inflation
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• k-Inflation
• Essentials of k-essence
• Kinetically Driven Quintessence
• Observational Signatures and Non-Gaussianities of General Single Field Inflation
• Primordial non-gaussianities in single field inflation
• Horizon crossing and inflation with large η
• Ultra Slow-Roll Inflation and the non-Gaussianity Consistency Relation
• Violation of non-Gaussianity consistency relation in a single field inflationary model
• Tracking K-essence
• Inflation with a constant rate of roll
• A new view of k-essence
• Dynamics of $k$-essence
• Inflation and Primordial Black Holes
• Improved Estimates of Cosmological Perturbations
• Unification of Constant-roll Inflation and Dark Energy with Logarithmic $R^2$-corrected and Exponential $F(R)$ Gravity
• Primordial black holes and secondary gravitational waves from k/G inflation
• Anatomy of single-field inflationary models for primordial black holes
• Constant-roll Inflation in $f(T)$ Teleparallel Gravity
• $f(R)$ constant-roll inflation
• Constant-roll Inflation in $F(R)$ Gravity
• Constant-roll inflation: confrontation with recent observational data
• Inflation with Gauss-Bonnet coupling
• On the slope of curvature power spectrum in non-attractor inflation
• On the constant-roll inflation
• The attractive behaviour of ultra-slow-roll inflation
• Constant roll and primordial black holes
• Constant-Roll (Quasi-)Linear Inflation
• Squeezed bispectrum and one-loop corrections in transient constant-roll inflation
• Systematics of Constant Roll Inflation
• Logarithmic-corrected $R^2$ Gravity Inflation in the Presence of Kalb-Ramond Fields
• Large-$\eta$ Constant-Roll Inflation Is Never An Attractor
• Constant-roll inflation in scalar-tensor gravity
• Reheating in Constant-roll $F(R)$ Gravity
• Constant-roll tachyon inflation and observational constraints
• New perspectives on constant-roll inflation
• Stochastic constant-roll inflation and primordial black holes
• Non-Gaussianity in inflationary scenarios for primordial black holes
• Reviving non-Minimal Horndeski-like Theories after GW170817: Kinetic Coupling Corrected Einstein-Gauss-Bonnet Inflation
• Tachyon constant-roll inflation
• Non-Gaussianity in single field models without slow-roll
• Constant-roll in the Palatini-$R^2$ models
• Constant-roll approach to non-canonical inflation
• Dynamical Analysis of Attractor Behavior in Constant Roll Inflation
• Brane Constant-roll Inflation
• Anisotropic constant-roll inflation with noncommutative model and swampland conjectures
• Constant-roll $k$-Inflation Dynamics
• Observational Constraints on Constant Roll Inflation
• The method of generating functions in exact scalar field cosmology
• Beta-function formalism for k-essence constant-roll inflation
• Stochastic non-attractor inflation
• Constant-roll inflation in the generalized SU(2) Proca theory
• Simple single-field inflation models with arbitrarily small tensor/scalar ratio
• Natural Inflation with non minimal coupling to gravity in $R^2$ gravity under the Palatini formalism
• Nonminimal coupling inflation with constant slow roll
• Generalizing the Constant-roll Condition in Scalar Inflation
• Constant-Roll Inflation in modified $f(R,\varphi )$ gravity model using Palatini Formalism
• The generalized $sl(2,R)$ and $su(1,1)$ in non-minimal constant-roll inflation
• On the constant roll complex scalar field inflationary models
• Inflationary models that generalize the constant roll constraint
• G-constant-roll inflation
• Observational constraints on Tachyon inflation and reheating in f(Q) gravity

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