Precision Predictions for the Primordial Power Spectra from f(R) Models of Inflation

Abstract

We study the power spectra of f(R) inflation using a new technique in which the norm-squared of the mode functions is evolved. Our technique results in excellent analytic approximations for how the spectra depend upon the function $f(R)$. Although the spectra are numerically the same in the Jordan and Einstein frames for the same wave number $k$, they depend upon the geometries of these frames in quite different ways. For example, the power spectra in the two frames are different functions of the number of e-foldings until end of inflation. We discuss how future data on reheating can be used to distinguish f(R) inflation from scalar-driven inflation.

arXiv comment27 pages, 8 figures, uses LaTeX2e Version 2 slightly revised for publication

References in corpus (34)

• Unified cosmic history in modified gravity: from F(R) theory to Lorentz non-invariant models
• Extended Theories of Gravity
• Is Cosmic Speed-Up Due to New Gravitational Physics?
• Modified gravity with negative and positive powers of the curvature: unification of the inflation and of the cosmic acceleration
• The Standard Model Higgs boson as the inflaton
• Curvature Quintessence
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Unifying phantom inflation with late-time acceleration: scalar phantom-non-phantom transition model and generalized holographic dark energy
• Cosmological viability of f(R)-gravity as an ideal fluid and its compatibility with a matter dominated phase
• Formalising the Slow-Roll Approximation in Inflation
• Higgs inflation: consistency and generalisations
• Avoiding Dark Energy with 1/R Modifications of Gravity
• Reconstructing the Cosmic Equation of State from Supernova distances
• Phantom scalar dark energy as modified gravity: understanding the origin of the Big Rip singularity
• Dark Energy: the equation of state description versus scalar-tensor or modified gravity
• Non-singular exponential gravity: a simple theory for early- and late-time accelerated expansion
• Comments on the Starobinsky Model of Inflation and its Descendants
• Nearly Starobinsky inflation from modified gravity
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Parametrizations of the Dark Energy Density and Scalar Potentials
• Constraints from Inflation on Scalar-Tensor Gravity Theories
• Non-Perturbative Models For The Quantum Gravitational Back-Reaction On Inflation
• Robust approach to f(R) gravity
• Structure of Primordial Gravitational Waves Spectrum in a Double Inflationary Model
• Conformal invariance of curvature perturbation
• Conformal equivalence in classical gravity: the example of "veiled" General Relativity
• Invariant slow-roll parameters in scalar-tensor theories
• Generating scale-invariant tensor perturbations in the non-inflationary universe
• Conformal frames in cosmology
• Singular deformations of nearly $R^2$ inflation potentials
• Precision Predictions for the Primordial Power Spectra of Scalar Potential Models of Inflation
• Improving the Single Scalar Consistency Relation
• The Effect of Features on the Functional Form of the Scalar Power Spectrum
• Saddle point inflation from $f(R)$ theory

Cited by in corpus (44)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• Mimetic gravity: a review of recent developments and applications to cosmology and astrophysics
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Selected topics in scalar-tensor theories and beyond
• Constant-roll Inflation in $F(R)$ Gravity
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• $R^2$ inflation to probe non-perturbative quantum gravity
• The inflationary universe in F(R) gravity with antisymmetric tensor fields and their suppression during the universe evolution
• Primordial perturbations generated by Higgs field and $R^2$ operator
• Equivalence of inflationary models between the metric and Palatini formulation of scalar-tensor theories
• Thermodynamical correspondence of $f(R)$ gravity in Jordan and Einstein frames
• The Reconstruction of $f(\varphi )R$ and Mimetic Gravity from Viable Slow-roll Inflation
• Traversable wormholes with charge and non-commutative geometry in the $f(Q)$ gravity
• Inflationary Attractors in $F(R)$ Gravity
• Buchdahl quark stars within $f(Q)$ theory
• Probing the existence of the ZTF Casimir wormholes in the framework of $f(\mathcal{R})$ gravity
• Induced Affine Inflation
• Post-Newtonian limit of scalar-torsion theories of gravity as analogue to scalar-curvature theories
• Exponential Inflation with $F(R)$ Gravity
• Thick branes with inner structure in mimetic $f(R)$ gravity
• Dynamical equivalence of $f(R)$ gravity in Jordan and Einstein frames
• How Inflationary Gravitons Affect the Force of Gravity
• Why scalar-tensor equivalent theories are not physically equivalent?
• On the Trans-Planckian Censorship Conjecture and the Generalized Non-Minimal Coupling
• Kuchowicz gravastars in the braneworld formalism
• Unified cosmology with Non-minimally coupled scalar-tensor theory of gravity
• Attractor Cosmology from non-minimally Coupled Gravity
• Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model
• Canonical Scalar Field Inflation with a Woods-Saxon Potential
• The Inflaton Effective Potential for General $\epsilon$
• Primordial flat frame -- a new view on inflation
• Exploring the inflation of $F(R)$ gravity
• Final Thoughts on the Power Spectra of Scalar Potential Models
• Inflaton Effective Potential from Photons for General $\epsilon$
• From Non-trivial Geometries to Power Spectra and Vice Versa
• Inflaton Effective Potential from Fermions for General $\epsilon$
• Improving the Single Scalar Consistency Relation
• Exact inflationary solutions in exponential gravity
• Inflation in non-local hybrid metric-Palatini gravity
• Cosmology in a model with Lagrange multiplier, and Gauss-Bonnet and non-minimal kinetic couplings
• Hubble Diagrams in the Jordan and Einstein Frames
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• Thermodynamics of irreversible particle creation phenomena and its cosmological consequence