Primordial Spectral Indices from Generalized Einstein Theories

Abstract

Primordial spectral indices are calculated to second order in slow-roll parameters for three closely-related models of inflation, all of which contain a scalar field non-minimally coupled to the Ricci curvature scalar. In most cases, $n_s$ may be written as a function of the non-minimal curvature coupling strength $\xi$ alone, with $n_s(\xi )\le 1$, although the constraints on $\xi$ differ greatly between \lq new inflation' and \lq chaotic inflation' initial conditions. Under \lq new inflation' initial conditions, there are discrepancies between the values of $n_s$ as calculated in the Einstein frame and the Jordan frame. The sources for these discrepancies are addressed, and shown to have negligible effects on the numerical predictions for $n_s$. No such discrepancies affect the calculations under \lq chaotic inflation' initial conditions.

31 pp. Forthcoming in Physical Review D. Section 3 significantly revised. Four figures not included; hard copies available from author

References in corpus (11)

• Low energy effective string cosmology
• On Determining the Spectrum of Primordial Inhomogeneity from the COBE DMR Sky Maps: II. Results of Two Year Data Analysis
• On Determining the Spectrum of Primordial Inhomogeneity from the COBE DMR Sky Maps: I. Method
• Relating Spectral Indices to Tensor and Scalar Amplitudes in Inflation
• String Cosmology and Inflation
• Gauge-Invariant Cosmological Perturbations in Generalized Einstein Theories
• Frame-Independent Calculation of Spectral Indices from Inflation
• The End for Extended Inflation?
• Phenomenological Aspects of the Pre-Big-Bang Scenario in String Cosmology
• Observations of the Cosmic Microwave Background
• Comparison of Spectral Index Determinations

Cited by in corpus (224)

• Modified Gravity Theories on a Nutshell: Inflation, Bounce and Late-time Evolution
• The Standard Model Higgs boson as the inflaton
• Higgs inflation: consistency and generalisations
• On the Naturalness of Higgs Inflation
• Running Inflation in the Standard Model
• Power-counting and the Validity of the Classical Approximation During Inflation
• On initial conditions for the Hot Big Bang
• Comment on Higgs Inflation and Naturalness
• On Inflation with Non-minimal Coupling
• Inflation and quintessence with nonminimal coupling
• The stability of modified gravity models
• Complete constraints on a nonminimally coupled chaotic inflationary scenario from the cosmic microwave background
• Higgs inflation
• Multifield Inflation after Planck: The Case for Nonminimal Couplings
• Standard Model-Axion-Seesaw-Higgs Portal Inflation. Five problems of particle physics and cosmology solved in one stroke
• Non-minimal coupling of the scalar field and inflation
• Conformal Transformations with Multiple Scalar Fields
• The Higgs field as an inflaton
• Higgs G-inflation
• Cosmological perturbations from multi-field inflation in generalized Einstein theories
• Holographic inflation
• Inflationary universe from perfect fluid and $F(R)$ gravity and its comparison with observational data
• Planck, LHC, and $\alpha$-attractors
• Primordial Bispectrum from Multifield Inflation with Nonminimal Couplings
• Higgs inflation with loop corrections in the Palatini formulation
• Constraints from Inflation on Scalar-Tensor Gravity Theories
• Density perturbations in generalized Einstein scenarios and constraints on nonminimal couplings from the Cosmic Microwave Background
• Observational tests of inflation with a field derivative coupling to gravity
• Tensor to Scalar Ratio in Non-Minimal ${\varphi }^4$ Inflation
• Post-Inflation Reheating in an Expanding Universe
• Matter Bounce Loop Quantum Cosmology from $F(R)$ Gravity
• Generalized Higgs inflation
• Frame-dependence of higher-order inflationary observables in scalar-tensor theories
• Selected topics in scalar-tensor theories and beyond
• Planck constraints on single-field inflation
• Preheating after Multifield Inflation with Nonminimal Couplings, I: Covariant Formalism and Attractor Behavior
• Chaotic inflation in Jordan frame supergravity
• Singular Inflationary Universe from $F(R)$ Gravity
• The Standard Model Higgs Boson-Inflaton and Dark Matter
• The Palatini side of inflationary attractors
• Multifield Dynamics of Higgs Inflation
• Inflationary $\alpha$-attractors from $F(R)$ Gravity
• Preheating after multifield inflation with nonminimal couplings, III: Dynamical spacetime results
• Multifield Inflation after Planck: Isocurvature Modes from Nonminimal Couplings
• Primordial black holes and secondary gravitational waves from inflationary model with a non-canonical kinetic term
• Resurrecting Quadratic Inflation with a non-minimal coupling to gravity
• Deceleration versus Acceleration Universe in Different Frames of $F(R)$ Gravity
• Super-renormalizable or finite completion of the Starobinsky theory
• New universal attractor in nonmininally coupled gravity: Linear inflation
• Higgs inflation at the hilltop
• Quantum corrections in Higgs inflation: the real scalar case
• Embedding inflation into the Standard Model - more evidence for classical scale invariance
• Preheating after multifield inflation with nonminimal couplings, II: Resonance Structure
• Tracing the high energy theory of gravity: an introduction to Palatini inflation
• Inflation by non-minimal coupling
• Inflationary models with non-minimally derivative coupling
• Potential-driven Galileon inflation
• Constraints on the chaotic inflationary scenario with a nonminimally coupled "inflaton" field from the cosmic microwave background radiation anisotropy
• A crucial ingredient of inflation
• Frame-Covariant Formulation of Inflation in Scalar-Curvature Theories
• Chaotic inflation in modified gravitational theories
• Primordial black holes and secondary gravitational waves from the Higgs field
• Inflationary Attractors in $F(R)$ Gravity
• New constraints on multi-field inflation with nonminimal coupling
• Inflation in models with Conformally Coupled Scalar fields: An application to the Noncommutative Spectral Action
• Constant-roll tachyon inflation and observational constraints
• Affine Inflation
• Renormalization-group inflationary scalar electrodynamics and SU(5) scenarios confronted with Planck2013 and BICEP2 results
• Minimal Composite Inflation
• Does Current Data Prefer a Non-minimally Coupled Inflaton?
• Non-Minimal Sneutrino Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis
• Effective Potential in Curved Space and Cut-Off Regularizations
• Disformal invariance of cosmological perturbations in a generalized class of Horndeski theories
• Global stability analysis for cosmological models with non-minimally coupled scalar fields
• Towards distinguishing variants of non-minimal inflation
• Consistency of inflation and preheating in F(R) supergravity
• The Observational Status of Simple Inflationary Models: an Update
• Non-Minimal B-L Inflation with Observable Gravity Waves
• Quintessential inflation: A tale of emergent and broken symmetries
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Non-Minimally Gravity-Coupled Inflationary Models
• Composite Inflation Setup and Glueball Inflation
• Reheating of the universe after inflation with f(phi)R gravity
• Higgs inflation and teleparallel gravity
• Nonminimal coupling and inflationary attractors
• Implications of the B-mode Polarization Measurement for Direct Detection of Inflationary Gravitational Waves
• Universal Inflationary Attractors Implications on Static Neutron Stars
• Invariant slow-roll parameters in scalar-tensor theories
• Non-Minimal Inflation Revisited
• Inflationary Attractors Predictions for Static Neutron Stars in the Mass-Gap Region
• Construction of inflationary scenarios with the Gauss-Bonnet term and nonminimal coupling
• Neutron Stars in Scalar-tensor Gravity with Quartic Order Scalar Potential
• Non-Minimal Two-Loop Inflation
• Inflaton dark matter from incomplete decay
• Reconstruction of constant slow-roll inflation
• Initial conditions for plateau inflation: a case study
• Static Neutron Stars Perspective of Quadratic and Induced Inflationary Attractor Scalar-tensor Theories
• Braneworld non-minimal inflation with induced gravity
• Inflaton mass in the nuMSM inflation
• Cosmological attractor inflation from the RG-improved Higgs sector of finite gauge theory
• Extended quintessence, inflation, and stable de Sitter spaces
• Reconstruction of a Nonminimal Coupling Theory with Scale-invariant Power Spectrum
• Power-law inflation with a nonminimally coupled scalar field
• Reconstructing warm inflation
• Quadratic, Higgs and hilltop potentials in the Palatini gravity
• Non-Gaussianities of Single Field Inflation with Non-minimal Coupling
• Perturbative analysis of generalized Einstein's theories
• Non-minimal coupling in light of ACT
• Induced Affine Inflation
• Generalized slow-roll inflation
• Non-minimal (self-)running inflation: metric vs. Palatini formulation
• Reconstruction of extended inflationary potentials for attractors
• Inflationary predictions of double-well, Coleman-Weinberg, and hilltop potentials with non-minimal coupling
• Non-chaotic dynamics in general-relativistic and scalar-tensor cosmology
• A case for kinetically dominated initial conditions for inflation
• Possible evolution of a bouncing universe in cosmological models with non-minimally coupled scalar fields
• $R^2$ Inflation Revisited and Dark Energy Corrections
• Weyl Scaling Invariant $R^2$ Gravity for Inflation and Dark Matter
• Multiple point criticality principle and Coleman-Weinberg inflation
• Observational constraints on inflationary models with non-minimally derivative coupling by ACT
• Primordial black holes and inflation from double-well potentials
• Weyl Symmetry Inspired Inflation and Dark Matter
• Successful Higgs inflation from combined nonminimal and derivative couplings
• Higgs Criticality beyond the Standard Model
• Primordial black holes from Higgs inflation with a Gauss-Bonnet coupling
• Non-minimally Coupled Cosmological Models with the Higgs-like Potentials and Negative Cosmological Constant
• Effect of transitions in the Planck mass during inflation on primordial power spectra
• New slow-roll approximations for inflation in Einstein-Gauss-Bonnet gravity
• Quartic inflation and radiative corrections with non-minimal coupling
• Rate of gravitational inflaton decay via gauge trace anomaly
• Planck constraints on inflation in auxiliary vector modified $f(R)$ theories
• Minimal plateau inflationary cosmologies and constraints from reheating
• Production of gravitational waves during preheating with nonminimal coupling
• Gauged Nambu-Jona-Lasinio inflation
• Running of the Spectral Index and Inflationary Dynamics of $F(R)$ Gravity
• Observational constraints on the generalized $\alpha$ attractor model
• Brans-Dicke inflation in light of the Planck 2015 data
• Unifying dark matter, dark energy and inflation with a fuzzy dark fluid
• Dynamical system approach of non-minimal coupling in AdS/CFT cosmology
• Constraining scalar-Gauss-Bonnet Inflation by Reheating, Unitarity and PLANCK
• Cosmological disformal transformations to the Einstein frame and gravitational couplings with matter perturbations
• Inflation without quantum gravity
• Slow-Roll Inflation in the Jordan Frame
• A Non-minimally Coupled Potential for Inflation and Dark Energy after Planck 2015: A Comprehensive Study
• Inverse Symmetric Inflationary Attractors
• Reconstructing G-inflation: From the attractors $n_S(N)$ and $r(N)$
• Gravitational inflaton decay and the hierarchy problem
• Induced-Gravity GUT-Scale Higgs Inflation in Supergravity
• Perfect fluid and F(T) gravity descriptions of inflationary universe and comparison with obervational data
• Nonminimal coupling inflation with constant slow roll
• Axion Quality Problem Alleviated by Non-Minimal Coupling to Gravity
• Cosmologically safe QCD axion as a present from extra dimension
• Inflationary Models with Gauss-Bonnet Coupling in Light of ACT Observations
• Inflation with non-canonical scalar fields revisited
• Inflation in gauge theory of gravity with local scaling symmetry and quantum induced symmetry breaking
• Uniqueness of the Inflationary Higgs Scalar for Neutron Stars and Failure of non-inflationary Approximations
• Approximate reconstruction of inflationary potential with ACT observations
• Strong Dynamics and Inflation: a review
• Non-Minimal Chaotic Inflation, Peccei-Quinn Phase Transition and non-Thermal Leptogenesis
• Cosmological Constraints on the Higgs Boson Mass
• Testing scale-invariant inflation against cosmological data
• The Linear Regime of Tachyonic Preheating
• Reconstructing k-essence: Unifying the attractor $n_S(N)$ and the swampland criteria
• Violation of slow-roll in non-minimal inflation
• $\alpha$-attractor from superconformal E-models in brane inflation
• The Reconstruction of Non-Minimal Derivative Coupling Inflationary Potentials
• Attractor Cosmology from non-minimally Coupled Gravity
• Gravity Waves and Gravitino Dark Matter in $\mu$-Hybrid Inflation
• Analytic Solutions of Brans-Dicke Cosmology: Early Inflation and Late Time Accelerated Expansion
• Inflation from the Finite Scale Gauged Nambu-Jona-Lasinio Model
• Conformal $\alpha$-attractor Inflation with Weyl Gauge Field
• Power law inflation with a non-minimally coupled scalar field in light of Planck and BICEP2 data: The exact versus slow roll results
• Higgs Inflation in f(Φ,R) Theory
• S.M.A.S.H.E.D.: Standard Model Axion Seesaw Higgs Inflation Extended for Dirac Neutrinos
• Quantum-Corrected ${\varphi }^4$ Inflation in Light of ACT Observations
• Constraining non-minimally coupled $\beta$-exponential inflation with CMB data
• Cosmological Coincidence without Fine Tuning
• Nonminimal GUT inflation after Planck results
• Freeze-In of radiative keV-scale neutrino dark matter from a new $\text{U}(1{)}_{\text{B-L}}$
• Can induced gravity isotropize Bianchi I, V, or IX Universes?
• Frame-Independent Calculation of Spectral Indices from Inflation
• Testing theories of Gravity and Supergravity with inflation and observations of the cosmic microwave background
• Non-minimal Higgs inflation within holographic cosmology
• Baryogenesis in $R^2$-Higgs Inflation: the Gravitational Connection
• Radiative-Corrected Higgs Inflation in Light of the Latest ACT Observations
• More accurate slow-roll approximations for inflation in scalar-tensor theories
• Isocurvature modes and non-Gaussianity in affine inflation
• Primordial black holes and scalar induced gravitational waves from Higgs inflation with non-canonical kinetic term
• Conformal Standard Model and Inflation
• Reconstruction and exact solutions for cosmological perturbations from a generalized gravity theory
• The observational position of simple non-minimally coupled inflationary scenarios
• Renormalization-group improved inflationary scenarios
• Dark Energy and Inflation with Volume Normalized Action
• Constraining non-minimally coupled squared-Quartic Hilltop Inflation in light of ACT observations
• From inflation to dark energy in scalar-tensor cosmology
• Lowering the self-coupling of the scalar field in a generalized Higgs inflation
• Implementation of cosmological bounce inflation with Nojiri-Odintsov generalized holographic dark fluid
• Constraining $\beta$-Exponential Inflation with the latest ACT observations
• Magnetic field generation in Higgs inflation model
• Non-minimal Unimodular Inflation
• Two-Field Quintessential Higgs model and the Swampland
• Fluctuations of the cosmic background radiation appearing in the 10-dimensional cosmological model
• Nonminimal Couplings in the Early Universe: Multifield Models of Inflation and the Latest Observations
• Higgs Inflation in Unimodular Gravity
• Regularization of Single Field Inflation Models
• On Higgs inflation in non-minimally coupled models of gravity
• Ultraviolet Sensitivity of Peccei-Quinn Inflation
• Higgs Inflation on Braneworld
• Potential Surge Preheating: enhanced resonance from potential features
• Observable predictions of generalised inflationary scenarios
• Inflationary $\alpha -$attractors and $F(R)$ gravity
• Generalized Slow-roll Inflation in Non-minimally Coupled Theories
• Repulsive gravity induced by a conformally coupled scalar field implies a bouncing radiation-dominated universe
• Nonminimal Couplings and the Forgotten Field of Axion Inflation
• Heavy Light Inflaton and Dark Matter Production
• On Conformal Transformation with Multiple Scalar Fields and Geometric Property of Field Space with Einstein-like Solutions
• Inflationary attractors from nonminimal coupling
• Inflation and Linear Expansion in the Radiation Dominated era in Jordan-Brans-Dicke Cosmology
• Inflationary attractors from a non-canonical kinetic term
• Primordial non-Gaussianity in noncanonical warm inflation with nonminimal derivative coupling
• The $R^2$-Higgs inflation with two Higgs doublets
• Dynamics of potential-free warm $\mathbf{k}$-inflation with nonminimal derivative coupling
• Light inflaton model in a metastable Universe
• Evaluation of the cosmological constant in inflation with a massive non-minimal scalar field