Metric perturbations in two-field inflation

Abstract

We study the metric perturbations produced during inflation in models with two scalar fields evolving simultaneously. In particular, we emphasize how the large-scale curvature perturbation $\zeta$ on fixed energy density hypersurfaces may not be conserved in general for multiple field inflation due to the presence of entropy as well as adiabatic fluctuations. We show that the usual method of solving the linearized perturbation equations is equivalent to the recently proposed analysis of Sasaki and Stewart in terms of the perturbed expansion along neighboring trajectories in field-space. In the case of a separable potential it is possible to compute in the slow-roll approximation the spectrum of density perturbations and gravitational waves at the end of inflation. In general there is an inequality between the ratio of tensor to scalar perturbations and the tilt of the gravitational wave spectrum, which becomes an equality when only adiabatic perturbations are possible and $\zeta$ is conserved.

RevTex, 9 pages, 1 uuencoded figure appended, also available on WWW via http://star.maps.susx.ac.uk/index.html

References in corpus (19)

• Hybrid Inflation
• False Vacuum Inflation with Einstein Gravity
• A General Analytic Formula for the Spectral Index of the Density Perturbations produced during Inflation
• Reconstructing the Inflaton Potential --- an Overview
• Reconstructing the linear power spectrum of cosmological mass fluctuations
• The Cold Dark Matter Density Perturbation
• Formalising the Slow-Roll Approximation in Inflation
• COBE, Gravitational Waves, Inflation and Extended Inflation
• On matching conditions for cosmological perturbations
• Fluctuations of the Gravitational Constant in the Inflationary Brans-Dicke Cosmology
• Constraints from Inflation on Scalar-Tensor Gravity Theories
• On Determining the Spectrum of Primordial Inhomogeneity from the COBE DMR Sky Maps: II. Results of Two Year Data Analysis
• Stationarity of Inflation and Predictions of Quantum Cosmology
• Double Field Inflation
• Structure of Primordial Gravitational Waves Spectrum in a Double Inflationary Model
• STATIONARY SOLUTIONS IN BRANS-DICKE STOCHASTIC INFLATIONARY COSMOLOGY
• Density fluctuations in Brans-Dicke inflation
• Jordan-Brans-Dicke Stochastic Inflation
• General Relativity as an Attractor in Scalar-Tensor Stochastic Inflation

Cited by in corpus (205)

• Planck 2018 results. X. Constraints on inflation
• Particle Physics Models of Inflation and the Cosmological Density Perturbation
• Five-Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Likelihoods and Parameters from the WMAP data
• Non-Gaussianity from Inflation: Theory and Observations
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Planck 2013 results. XXII. Constraints on inflation
• Inflation Dynamics and Reheating
• Cosmological Backgrounds of Gravitational Waves
• A new approach to the evolution of cosmological perturbations on large scales
• Reconstructing the Inflaton Potential --- an Overview
• The primordial density perturbation in the curvaton scenario
• Density Perturbations and Black Hole Formation in Hybrid Inflation
• Adiabatic and entropy perturbations from inflation
• How long before the end of inflation were observable perturbations produced?
• Assisted inflation
• Non-Gaussianity in multi-field inflation
• On Non-Gaussianity in the Curvaton Scenario
• Scalar perturbations during multiple-field slow-roll inflation
• Higgs-Dilaton Cosmology: From the Early to the Late Universe
• An Observational Test of Two-field Inflation
• Non-Abelian Gauge Field Inflation
• Theory of cosmological perturbations in an anisotropic universe
• Large-scale curvature and entropy perturbations for multiple interacting fluids
• Review of local non-Gaussianity from multi-field inflation
• Predictions from an anisotropic inflationary era
• Dynamically Induced Planck Scale and Inflation
• Parametric Amplification of Metric Fluctuations During Reheating in Two Field Models
• Cosmological perturbations from multi-field inflation in generalized Einstein theories
• Inflationary models inducing non-Gaussian metric fluctuations
• Cosmological perturbations through a simple bounce
• The Cosmic Microwave Background and Particle Physics
• Observational constraints on the curvaton model of inflation
• Metric preheating and limitations of linearized gravity
• Conditions for large non-Gaussianity in two-field slow-roll inflation
• Interacting holographic dark energy
• Dynamics of Assisted Inflation
• One-loop corrections to the curvature perturbation from inflation
• Adiabatic and Isocurvature Perturbations from Inflation: Power Spectra and Consistency Relations
• Four-year COBE normalization of inflationary cosmologies
• Isocurvature bounds on axions revisited
• Local non-Gaussianity from inflation
• Adiabatic and entropy perturbations with interacting fluids and fields
• Nongaussian and nonscale-invariant perturbations from tachyonic preheating in hybrid inflation
• Tachyon inflation: tests and comparison with single scalar field inflation
• Correlated perturbations from inflation and the cosmic microwave background
• Generalized hybrid metric-Palatini gravity
• Interacting Dark Energy and Cosmological Equations of State
• Multiple inflation and the WMAP 'glitches'
• Constraining Isocurvature Initial Conditions with WMAP 3-year data
• Effective Field Theory and Decoupling in Multi-field Inflation: An Illustrative Case Study
• Non-Gaussianity and statistical anisotropy from vector field populated inflationary models
• Assisted Contraction
• Large non-Gaussianity from two-component hybrid inflation
• Bounds on isocurvature perturbations from CMB and LSS data
• Nongaussianity from Tachyonic Preheating in Hybrid Inflation
• Spectral Running and Non-Gaussianity from Slow-Roll Inflation in Generalised Two--Field Models
• Evolution of fNL to the adiabatic limit
• Correlation-consistency cartography of the double inflation landscape
• Super-horizon perturbations and preheating
• Correlated Primordial Perturbations in Light of CMB and LSS Data
• Large Nongaussianity from Nonlocal Inflation
• Cosmological perturbation with two scalar fields in reheating after inflation
• Multifield Inflation after Planck: Isocurvature Modes from Nonminimal Couplings
• Two scalar field cosmology: Conservation laws and exact solutions
• Primordial Non-Gaussianity in the Cosmic Microwave Background
• Evolution of Second-Order Cosmological Perturbations and Non-Gaussianity
• Non-Gaussianity in Two-Field Inflation
• Constraints on braneworld inflation from CMB anisotropies
• Formation of primordial black holes from non-Gaussian perturbations produced in a waterfall transition
• The Power Spectrum for a Multi-Component Inflaton to Second-Order Corrections in the Slow-Roll Expansion
• Cosmological perturbations from varying masses and couplings
• Prospects of inflation in delicate D-brane cosmology
• Effective field theory of modified gravity with two scalar fields: dark energy and dark matter
• Higgs-otic Inflation and String Theory
• Constraints on isocurvature models from the WMAP first-year data
• Density Perturbations in Multifield Inflationary Models
• Moment transport equations for non-Gaussianity
• Correlated adiabatic and isocurvature CMB fluctuations in the wake of the WMAP
• Bounds on CDM and neutrino isocurvature perturbations from CMB and LSS data
• Simple predictions from multifield inflationary models
• Squeezing the window on isocurvature modes with the Lyman-alpha forest
• Testing for double inflation with WMAP
• Scale-invariance in expanding and contracting universes from two-field models
• Cosmological Perturbations with Multiple Scalar Fields
• Angular inflation in multi-field $\alpha$-attractors
• Frame Covariant Nonminimal Multifield Inflation
• Predictions for Nongaussianity from Nonlocal Inflation
• Inflationary perturbation theory is geometrical optics in phase space
• Numerical evaluation of the bispectrum in multiple field inflation
• Higgs-Dilaton cosmology: Are there extra relativistic species?
• New constraints on multi-field inflation with nonminimal coupling
• Multifield consequences for D-brane inflation
• Large Scale Structure from the Higgs fields of the Supersymmetric Standard Model
• Modulated Reheating and Large Non-Gaussianity in String Cosmology
• Attractors and Isocurvature Perturbations in Quintessence Models
• Curvature and isocurvature perturbations in a three-fluid model of curvaton decay
• MultiModeCode: An efficient numerical solver for multifield inflation
• Evolution of primordial perturbations and a fluctuating decay rate
• Chaplygin gas with non-adiabatic pressure perturbations
• Features in the primordial power spectrum of double D-term inflation
• Multiple-field inflation and the CMB
• Anisotropic bispectrum of curvature perturbations from primordial non-Abelian vector fields
• Accurate determination of inflationary perturbations
• Non-Gaussianity from the hybrid potential
• Inflation in mimetic f(G) gravity
• Calculating Non-adiabatic Pressure Perturbations during Multi-field Inflation
• Enhancement of primordial curvature perturbations in $R^3$-corrected Starobinsky-Higgs inflation
• Non-Gaussianities in Multifield Inflation: Superhorizon Evolution, Adiabaticity, and the Fate of fnl
• Multi-field inflation with random potentials: field dimension, feature scale and non-Gaussianity
• Spotting deviations from R^2 inflation
• On reaching the adiabatic limit in multi-field inflation
• Large-scale curvature perturbations with spatial and time variations of the inflaton decay rate
• Black holes and gravitational waves in string cosmology
• Preheating curvature perturbations with a coupled curvaton
• Transport equations for the inflationary trispectrum
• On higher derivative corrections to the $R+R^2$ inflationary model
• COSMOS-$e^{\prime }$- soft Higgsotic attractors
• Cosmological Constraints on Higgs-Dilaton Inflation
• On the viability of quintessential inflationary models from observational data
• The δN formula is the dynamical renormalization group
• Constant roll inflation in multifield models
• Curvature perturbation spectra from waterfall transition, black hole constraints and non-Gaussianity
• Brane inflation driven by noncanonical scalar field
• Note on Non-Gaussianities in Two-field Inflation
• Searching for dynamical black holes in various theories of gravity
• $\delta N$ formalism from superpotential and holography
• Separable and non-separable multi-field inflation and large non-Gaussianity
• The effects of a fast-turning trajectory in multiple-field inflation
• Constraints on scalar and tensor perturbations in phenomenological and two-field inflation models: Bayesian evidences for primordial isocurvature and tensor modes
• Isocurvature modes and Baryon Acoustic Oscillations
• Manyfield Inflation in Random Potentials
• Large N Cosmology
• General analytic predictions of two-field inflation and perturbative reheating
• Bounce and cyclic cosmology in new gravitational scalar-tensor theories
• Large trispectrum in two-field slow-roll inflation
• Evolution of non-Gaussianity in multi-scalar field models
• Suppression of Entropy Perturbations in Multi--Field Inflation on the Brane
• Planck constraints on Higgs modulated reheating of renormalization group improved inflation
• Isocurvature modes and Baryon Acoustic Oscillations II: gains from combining CMB and Large Scale Structure
• Solutions of gauge invariant cosmological perturbations in long-wavelength limit
• Large non-Gaussianity in non-minimal inflation
• Adiabaticity and the Fate of Non-Gaussianities: The Trispectrum and Beyond
• Exact and slow-roll solutions for exponential power-law inflation connected with f(R) gravity and observational constraints
• Local non-Gaussianity from rapidly varying sound speeds
• The effect of multiple features on the power spectrum in two-field inflation
• Cold Dark Matter Isocurvature Perturbations: Cosmological Constraints and Applications
• Predictions in multifield models of inflation
• On the Amount of Gravitational Waves from Inflation
• Testing supersymmetric Higgs inflation with non-Gaussianity
• Designing and testing inflationary models with Bayesian networks
• Fermion production from preheating-amplified metric perturbations
• Primordial curvature perturbation during and at the end of multi-field inflation
• Brane preheating
• Numerical evaluation of inflationary 3-point functions on curved field space
• Scale-dependent bias from multiple-field inflation
• Quantifying the behaviour of curvature perturbations during inflation
• Effect of reheating on predictions following multiple-field inflation
• Non-Gaussianity in the inflating curvaton
• Chameleon Field Dynamics During Inflation
• Curvature and Entropy Perturbations in Generalized Gravity
• Hubble multi-scalar inflation
• Effects of Light Fields During Inflation
• Asymptotic and Exact Solutions of Perfect-Fluid Scalar-Tensor Cosmologies
• Duality invariance and cosmological dynamics
• Non-Gaussian Shape Recognition
• Dilaton and Moduli Fields in D-term inflation
• Reconstruction of potentials of the hybrid inflation in the light of primordial black hole formation
• Modulated preheating and isocurvature perturbations
• Modulated inflation from kinetic term
• On the physical effects of consistent cosmological averaging
• Large tensor spectrum of BICEP2 in the natural SUSY hybrid model
• Constraints on Inflation in Einstein-Brans-Dicke Frame
• Constraints from CMB in the intermediate Brans-Dicke inflation
• Non Gaussianity of General Multiple-Field Inflationary Models
• Spectra and entropy of multi-field warm inflation
• Two-field inflation with non-minimal coupling
• Primordial gravitational wave of BICEP2 from dynamical double hybrid inflation
• Impact of freeze-in on dark matter isocurvature
• Perturbation Spectra and Renormalization-Group Techniques in Double-Field Inflation and Quantum Gravity Cosmology
• Improving Constraints on Inflation with CMB Delensing
• Quadratic integrals of a multi-scalar cosmological model
• About the isocurvature tension between axion and high scale inflationary models
• Conformal Standard Model and Inflation
• Radiative corrections to scalar masses in de Sitter space
• Limits on the gravity wave contribution to microwave anisotropies
• Inflationary Dynamics with Runaway Potentials
• Entropy Perturbations in N-flation
• Testing Two-Field Inflation
• A model of cosmology and particle physics at an intermediate scale
• Adiabatic and Isocurvature Perturbation Projections in Multi-Field Inflation
• Study of the Growth of Entropy Modes in MSSM Flat Directions Decay: Constraints on the Parameter Space
• Geodesic deviation equation in generalized hybrid Metric-Palatini gravity
• CMB lensing forecasts for constraining the primordial perturbations: adding to the CMB temperature and polarization information
• Classical and quantum cosmology of $K$-essentially modified $R^2$ and pure $R^p$ gravity
• Curvaton mechanism after multi-field inflation
• The Non-Adiabatic Pressure Perturbation and Non-Canonical Kinetic Terms in Multifield Inflation
• M-flation and its spectators
• Stabilising the Planck mass shortly after inflation
• Cosmological correlation functions in scalar and vector inflationary models
• Inflation with vector fields revisited: heavy entropy perturbations and primordial black holes
• Mimicking two field inflationary features with a single field
• Wronskian Formulation of the Spectrum of Curvature Perturbations
• Probing small-scale baryon and dark matter isocurvature perturbations with cosmic microwave background anisotropies
• Inflation in a scalar-vector gravity theory
• Non-Gaussianity in D3-brane inflation