Conserved cosmological perturbations

Abstract

A conserved cosmological perturbation is associated with each quantity whose local evolution is determined entirely by the local expansion of the Universe. It may be defined as the appropriately normalised perturbation of the quantity, defined using a slicing of spacetime such that the expansion between slices is spatially homogeneous. To first order, on super-horizon scales, the slicing with unperturbed intrinsic curvature has this property. A general construction is given for conserved quantities, yielding the curvature perturbation $\zeta$ as well as more recently-considered conserved perturbations. The construction may be extended to higher orders in perturbation theory and even into the non-perturbative regime.

21 pages, latex with revtex, no figures

References in corpus (7)

• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Determination of Cosmological Parameters
• First Year Wilkinson Microwave Anisotropy Probe (WMAP) Observations: Implications for Inflation
• Observational constraints on the curvaton model of inflation
• Conditions for Generating Scale-Invariant Density Perturbations
• The CDM isocurvature perturbation in the curvaton scenario
• Cosmological perturbations and the transition from contraction to expansion
• The Challenging Cosmic Singularity

Cited by in corpus (132)

• Non-Gaussianity from Inflation: Theory and Observations
• Inflation Dynamics and Reheating
• A general proof of the conservation of the curvature perturbation
• The inflationary prediction for primordial non-gaussianity
• Non-Gaussianity of the primordial perturbation in the curvaton model
• Non-Gaussianities in two-field inflation
• On Non-Gaussianity in the Curvaton Scenario
• Correlation Functions in Stochastic Inflation
• Primordial trispectrum from inflation
• The Separate Universe Approach and the Evolution of Nonlinear Superhorizon Cosmological Perturbations
• Evolution of second-order cosmological perturbations
• Quantum diffusion during inflation and primordial black holes
• The exponential tail of inflationary fluctuations: consequences for primordial black holes
• Non-Gaussianities in Multi-field Inflation
• Cosmological perturbations through a simple bounce
• Non-gaussianity from the second-order cosmological perturbation
• Multiple field inflation
• Conserved non-linear quantities in cosmology
• Evolution of non-linear cosmological perturbations
• A numerical study of non-gaussianity in the curvaton scenario
• Statistical anisotropy of the curvature perturbation from vector field perturbations
• Local non-Gaussianity from inflation
• Adiabatic and entropy perturbations with interacting fluids and fields
• Gauge-Invariant Temperature Anisotropies and Primordial Non-Gaussianity
• Non-Gaussianities from ekpyrotic collapse with multiple fields
• Curvaton Dynamics
• Curvaton with Polynomial Potential
• Large non-Gaussianity from two-component hybrid inflation
• Stochastic inflation beyond slow roll
• The CDM isocurvature perturbation in the curvaton scenario
• Nonlinear perturbations of cosmological scalar fields
• Non-gaussianity and cosmic uncertainty in curvaton-type models
• Non-Gaussian Fingerprints of Self-Interacting Curvaton
• Non-Gaussian perturbations from multi-field inflation
• The Peccei-Quinn Field as Curvaton
• The Zeta-Zeta Correlator Is Time Dependent
• Primordial fluctuations and non-Gaussianities from multifield DBI Galileon inflation
• Enhancement of Non-Gaussianity after Inflation
• Encyclopaedia Curvatonis
• Primordial non-Gaussianity from two curvaton decays
• Power spectrum in stochastic inflation
• The intrinsic bispectrum of the Cosmic Microwave Background [PhD thesis]
• Primordial black holes from stochastic tunnelling
• Non-Gaussianities in N-flation
• Statistics of coarse-grained cosmological fields in stochastic inflation
• Cosmological perturbations from stochastic gravity
• Conserved cosmological perturbation in Galileon models
• The Subdominant Curvaton
• WMAP, neutrino degeneracy and non-Gaussianity constraints on isocurvature perturbations in the curvaton model of inflation
• Curvatons in Supersymmetric Models
• The Effects of Gravitational Back-Reaction on Cosmological Perturbations
• Curvature and isocurvature perturbations in a three-fluid model of curvaton decay
• Gravitational waves from brane-world inflation with induced gravity
• Review on stochastic approach to inflation
• Primordial Perturbations from Multifield Inflation with Nonminimal Couplings
• Stochastic Inflation Revisited: Non-Slow Roll Statistics and DBI Inflation
• The separate-universe approach and sudden transitions during inflation
• Preheating curvature perturbations with a coupled curvaton
• Waterfall field in hybrid inflation and curvature perturbation
• Modulated Perturbations from Instant Preheating after new Ekpyrosis
• A geometrical approach to nonlinear perturbations in relativistic cosmology
• Clustering of primordial black holes from quantum diffusion during inflation
• Nonlinear perturbations for dissipative and interacting relativistic fluids
• Systematics of Adiabatic Modes: Flat Universes
• Modulated curvaton decay
• Cosmological Density Fluctuations in Stochastic Gravity -- Formalism and Linear Analysis --
• Hamiltonian formalism for cosmological perturbations: the separate-universe approach
• Numerical simulations of stochastic inflation using importance sampling
• Slow-Roll Inflation Preceded by a Topological Defect Phase à la Chaplygin Gas
• Cosmological influence of super-Hubble perturbations
• The effects of a fast-turning trajectory in multiple-field inflation
• Cosmological perturbation of Unimodular Gravity and General Relativity are identical
• Covariant generalization of cosmological perturbation theory
• Stochastic Inflation in General Relativity
• Quantization of Perturbations in an Inflating Elastic Solid
• Cosmological matching conditions
• Local non-Gaussianity from rapidly varying sound speeds
• Generalised perturbation equations in bouncing cosmologies
• The Amplitude of Dark Energy Perturbations
• Constraining isocurvature perturbations with the 21cm emission from minihaloes
• Constraints on moduli cosmology from the production of dark matter and baryon isocurvature fluctuations
• A rule of thumb for cosmological backreaction
• Brane-world cosmology
• Curvaton Scenario with Affleck-Dine Baryogenesis
• \bf $\delta M$ Formalism: A New Approach to Cosmological Perturbation Theory in Anisotropic Inflation
• Evolution of the curvature perturbations during warm inflation
• Primordial non-Gaussianity in noncanonical warm inflation
• Opening the reheating box in multifield inflation
• Quantum diffusion and large primordial perturbations from inflation
• Delta-N formalism for the evolution of the curvature perturbations in generalized multi-field inflation
• Anisotropic separate universe and Weinberg's adiabatic mode
• Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization
• Measuring the Energy Scale of Inflation with Large Scale Structures
• Extended $\delta N$ formalism: Nonspatially Flat Separate Universe Approach
• Remote Inflation: Hybrid-like inflation without hybrid-type potential
• Modulated decay in the multi-component Universe
• Ambiguity in running spectral index with an extra light field during inflation
• Mixed non-Gaussianity in multiple-DBI inflation
• Evolution of curvature perturbation in generalized gravity theories
• Stochastic inflation and primordial black holes
• Remote Inflation as hybrid-like sneutrino/MSSM inflation
• Curvaton Decay into Baryons, anti-Baryons and Radiation
• Testing gravity with non-Gaussianity
• Stochastic inflation with gradient interactions
• The Origin of the Large-Scale Structure in the Universe: Theoretical and Statistical Aspects
• Physics of the Cosmic Microwave Background Radiation
• Dark Matter from freeze-in and its inhomogeneities
• A Separate Universe Approach to Quintessence Perturbations
• Entropy Perturbations in N-flation
• On non-linear CMB temperature anisotropy from gravitational perturbations
• Initial conditions of the universe: A sign of the sine mode
• Hamiltonian formalism for cosmological perturbations: fixing the gauge
• Evolution of Gravitational Perturbations in Non-Commutative Inflation
• On the Hamilton-Jacobi approach to inflation beyond slow roll
• Gauge-invariant perturbations at a quantum gravity bounce
• Cosmological Signatures of Neutrino Seesaw Mechanism
• Cosmological Non-Gaussianity from Neutrino Seesaw Mechanism
• Secondary isocurvature perturbations from acoustic reheating
• Primordial black holes from a curvaton: the role of bimodal distributions
• QCD Axions and CMB Anisotropy
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Inflation: a quantum laboratory on cosmological scales
• Generalized neutrino isocurvature
• Conservation of nonlinear curvature perturbations on super-Hubble scales
• Curvaton mechanism and its implications to sneutrino cosmology
• Remarks on non-gaussian fluctuations of the inflaton and constancy of ζoutside the horizon
• $\delta N$ formalism with gradient interactions
• Separate universe in multifield inflation: a phase-space approach
• Origin & evolution of the Universe
• Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems
• Time as a test-field: the no-boundary universe in motion and a smooth radiation bounce
• Testing Inflationary Cosmology