Extended Slow-Roll Conditions and Rapid-Roll Conditions

Abstract

We derive slow-roll conditions for a scalar field which is non-minimally coupled with gravity in a consistent manner and express spectral indices of scalar/tensor perturbations in terms of the slow-roll parameters. The conformal invariance of the curvature perturbation is proved without linear approximations. Rapid-roll conditions are also derived, and the relation with the slow-roll conditions is discussed.

15 pages, published version

References in corpus (6)

• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Cosmological Interpretation
• Primordial Curvature Fluctuation and Its Non-Gaussianity in Models with Modulated Reheating
• Non-Gaussianity, Spectral Index and Tensor Modes in Mixed Inflaton and Curvaton Models
• Rapid roll Inflation with Conformal Coupling
• D-term chaotic inflation in supergravity
• New D-term chaotic inflation in supergravity and leptogenesis

Cited by in corpus (78)

• Inflation scenario via the Standard Model Higgs boson and LHC
• Higgs inflation
• Equivalence of the Einstein and Jordan frames
• Higgs inflation with loop corrections in the Palatini formulation
• Supergravity based inflation models: a review
• Conformal-Frame (In)dependence of Cosmological Observations in Scalar-Tensor Theory
• $f(R)$ constant-roll inflation
• Generalized Higgs inflation
• Slow-Roll Thawing Quintessence
• Cosmological disformal invariance
• Higgs inflation at the hilltop
• Conformal Frame Dependence of Inflation
• Consistency relation for $R^p$ inflation
• Conformal invariance of curvature perturbation
• UV (in)sensitivity of Higgs inflation
• The inflationary bispectrum with curved field-space
• Disformal transformation of cosmological perturbations
• Multi-field inflation and cosmological perturbations
• Probing reheating with primordial spectrum
• Linear inflation from quartic potential
• Auxiliary fields representation for modified gravity models
• Inflation and Reheating in Induced Gravity
• Curvature perturbation in multi-field inflation with non-minimal coupling
• Non-Minimal Sneutrino Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis
• Non-Minimally Gravity-Coupled Inflationary Models
• Implications of the B-mode Polarization Measurement for Direct Detection of Inflationary Gravitational Waves
• Gauge invariant cosmological perturbations for the nonminimally coupled inflaton field
• The Conformal Transformation in General Single Field Inflation with Non-Minimal Coupling
• Invariant slow-roll parameters in scalar-tensor theories
• Disformal invariance of curvature perturbation
• Braneworld non-minimal inflation with induced gravity
• Conformal Transformations in Cosmology of Modified Gravity: the Covariant Approach Perspective
• Frame independent cosmological perturbations
• Inflation and Reheating in Spontaneously Generated Gravity
• Extended Slow-Roll Conditions and Primordial Fluctuations: Multiple Scalar Fields and Generalized Gravity
• Uniqueness of the gauge invariant action for cosmological perturbations
• Uniting cosmological epochs through the twister solution in cosmology with non-minimal coupling
• On the number of $e$-folds in the Jordan and Einstein frames
• Conformal frames in cosmology
• Inflation from High-Scale Supersymmetry Breaking
• Generating scale-invariant tensor perturbations in the non-inflationary universe
• Large non-Gaussianity in non-minimal inflation
• Brans-Dicke inflation in light of the Planck 2015 data
• Linearized modified gravity theories with a cosmological term: advance of perihelion and deflection of light
• What is the amplitude of the Gravitational Waves background expected in the Starobinsky model ?
• Slow-Roll Inflation in the Jordan Frame
• Note on stability in conformally connected frames
• Slow-roll Extended Quintessence
• Perturbations of Single-field Inflation in Modified Gravity Theory
• Quantum corrections to inflation: the importance of RG-running and choosing the optimal RG-scale
• Non-Minimal Chaotic Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis
• Constraints on non-minimal coupling from quantum cosmology
• Transformation of Primordial Cosmological Perturbations Under the General Extended Disformal Transformation
• Disformal invariance of cosmological observables
• Adiabatic regularisation of power spectra in $k$-inflation
• Bifurcations in Ratra-Peebles quintessence models and their extensions
• The Slow-Roll and Rapid-Roll Conditions in the Space-like Vector Field Scenario
• The non-minimal coupling constant and the primordial de Sitter state
• Adiabatic regularization of power spectrum in nonminimally coupled general single-field inflation
• Non-minimally Coupled Pseudoscalar Inflaton
• Global Portraits of Nonminimal Inflation: Metric and Palatini
• Superpotential method and the amplification of inflationary perturbations
• Non-minimal Higgs inflation within holographic cosmology
• Disformal transformation of physical quantities associated with relativistic stars
• Local gravity test of unified models of inflation and dark energy in $f(R)$ gravity
• Comoving curvature perturbation in Jordan and Einstein frames
• A new generic and structurally stable cosmological model without singularity
• Constraining non-minimally coupled squared-Quartic Hilltop Inflation in light of ACT observations
• Conformal invariant cosmological perturbations via the covariant approach
• Supergravity Contributions to Inflation in models with non-minimal coupling to gravity
• Global portraits of nonminimal inflation
• Global Portraits of Inflation in Nonsingular Variables
• Cosmological memory effect in scalar-tensor theories
• Observable predictions of generalised inflationary scenarios
• Global portraits of nonminimal teleparallel inflation
• Conformal invariant cosmological perturbations via the covariant approach: multicomponent universe
• Towards an analytic solution of rapid roll inflation with a quartic potential
• Scalar-Induced Gravitational Waves in Palatini $f(R)$ Gravity