A new approach to the evolution of cosmological perturbations on large scales

Abstract

We discuss the evolution of linear perturbations about a Friedmann-Robertson-Walker background metric, using only the local conservation of energy-momentum. We show that on sufficiently large scales the curvature perturbation on spatial hypersurfaces of uniform-density is conserved when the non-adiabatic pressure perturbation is negligible. This is the first time that this result has been demonstrated independently of the gravitational field equations. A physical picture of long-wavelength perturbations as being composed of separate Robertson-Walker universes gives a simple understanding of the possible evolution of the curvature perturbation, in particular clarifying the conditions under which super-horizon curvature perturbations may vary.

8 pages, revtex, 1 figure, version to appear in Phys Rev D. Sign errors in original version corrected plus other minor additions

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• Planck constraints on neutrino isocurvature density perturbations
• Non-perturbative $\delta N$
• Cosmological perturbations from a Spectator field during inflation
• Towards an Observational Appraisal of String Cosmology
• Physics of the Cosmic Microwave Background Radiation
• Covariant second-order perturbations in generalized two-field inflation
• 1/R Correction to Gravity in the Early Universe
• Cosmic microwave background and parametric resonance in reheating
• Running of the Spectral index in Deformed Matter Bounce Scenarios with Hubble-rate-dependent Dark Energy
• Axionlike Origin of the Primordial Density Perturbation
• Primordial black hole production during preheating in a chaotic inflationary model
• Curvaton preheating revisited
• Covariant evolution of perturbations during reheating in two-field inflation
• Conserved Quantities in Lemaitre-Tolman-Bondi Cosmology
• Inflation with Stochastic Boundary
• Braneworld Flux Inflation
• Generically large nongaussianity in small multifield inflation
• Resolving primordial physics through correlated signatures
• Gradient expansion of superhorizon perturbations in G-inflation
• Large Scale Cosmic Perturbation from Evaporation of Primordial Black Holes
• Mimetic Curvaton
• Stochastic inflation and non-perturbative power spectrum beyond slow roll
• Early evolution of spin direction in dark matter halos and the effect of the surrounding large-scale tidal field
• Rolling in the Modulated Reheating Scenario
• $\Delta N$ Formalism and Conserved Currents in Cosmology
• Cosmological Perturbations During Radion Stabilization
• The running curvaton
• Isocurvature modes: joint analysis of the CMB power spectrum and bispectrum
• Affleck-Dine baryogenesis with modulated reheating
• A Separate Universe Approach to Quintessence Perturbations
• Inflationary buildup of a vector field condensate and its cosmological consequences
• Dark Matter from freeze-in and its inhomogeneities
• Sensitivity of quintessence perturbations to initial conditions
• Entropy Perturbations in N-flation
• Non-Gaussianities and Primordial Black Holes
• Cosmic perturbations, baryon asymmetry and dark matter from the minimal supersymmetric standard model
• Inflationary Dynamics with Runaway Potentials
• Hamiltonian formalism for cosmological perturbations: fixing the gauge
• Long-wavelength non-linear perturbations of a complex scalar field
• Adiabatic and non-adiabatic perturbations for loop quantum cosmology
• Stochastic approach to gravitational waves from inflation
• On (non-)dynamical dark energy
• Itô, Stratonovich, and zoom-in schemes in stochastic inflation
• Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer
• Lecture notes on non-Gaussianity
• Polytropic Inspired Inflation on the Brane
• Open Inflationary Universes in Gauss-Bonnet Brane Cosmology
• Aspects of warm-flat directions
• Non-local Matching Condition and Scale-invariant Spectrum in Bouncing Cosmology
• Spatial correlations of dark energy from quantum fluctuations in inflation
• The Effect of Curvaton Decay on the Primordial Power Spectrum
• The spatial gauge-dependence of single-field inflationary bispectra
• Testing Two-Field Inflation
• Long wavelength limit of evolution of cosmological perturbations in the universe where scalar fields and fluids coexist
• Long-wavelength Cosmological Perturbation in the Universe with Multiple Perfect Fluids
• Supersymmetric hybrid inflation with a light scalar
• Non-gaussianity and Statistical Anisotropy in Cosmological Inflationary Models
• Perturbation in an interacting dark universe
• Stochastic cosmology, theories of perturbations and Lifshitz gravity
• A maximal-entropy initial state of the Universe as a microscopic description of inflation
• A model of cosmology and particle physics at an intermediate scale
• Primordial non-Gaussianity from the Effects of the Standard Model Higgs during Reheating after Inflation
• Gauge-invariant perturbations at a quantum gravity bounce
• On the Hamilton-Jacobi approach to inflation beyond slow roll
• Manifestly gauge invariant theory of the nonlinear cosmological perturbations in the leading order of the gradient expansion
• The effects of anisotropy and non-adiabaticity on the evolution of comoving curvature perturbation
• Higgs-like spectator field as the origin of structure
• Scalar spectral index in the presence of Primordial Black Holes
• Uniform Rate Inflation
• Curvature Perturbations in the Effective Field Theory of Inflation
• Effects of Variable Newton Constant During Inflation
• Primordial black holes from a curvaton: the role of bimodal distributions
• Mixed perturbations from an Inflaton and Two Curvatons - towards understanding non-gaussianity in more complicated curvaton scenarios
• Periodic Cosmic String Formation and Dynamics
• Inflation from a chaotic potential with a step
• Curvaton mechanism after multi-field inflation
• Cosmological Non-Gaussianity from Neutrino Seesaw Mechanism
• Cosmological Signatures of Neutrino Seesaw Mechanism
• Improved quantum algorithm for calculating eigenvalues of differential operators and its application to estimating the decay rate of the perturbation distribution tail in stochastic inflation
• Nonlinear Perturbations in a Variable Speed of Light Cosmology
• Ultraviolet Sensitivity of Peccei-Quinn Inflation
• Natural Inflation on the brane with a TeV-scale gravity: Parameter constraints after Planck 2015
• Application of beyond $\delta N$ formalism -- Varying sound speed
• $\delta N$ formalism on the past light-cone
• QCD Axions and CMB Anisotropy
• Nonminimal Couplings and the Forgotten Field of Axion Inflation
• How large are curvature perturbations from slow first-order phase transitions? A gauge-invariant analysis
• Suppression of the large scale curvature perturbation by interacting fluids
• The Size of Local Bispectrum and Trispectrum in a Non-Minimal Inflation
• Stochastic Inflation with Interacting Noises
• Observable predictions of generalised inflationary scenarios
• A Match Made in Heaven: Linking Observables in Inflationary Cosmology
• Bunch-Davies initial conditions and non-perturbative inflationary dynamics in Numerical Relativity
• Dark Matter Isocurvature from Curvature
• Constraints on the three-fluid model of curvaton decay
• Stochastic Inflation in Numerical Relativity
• Stabilising the Planck mass shortly after inflation
• A correspondence between strings in the Hagedorn phase and asymptotically de Sitter space
• Construction of the Conserved Non-linear Zeta via the Effective Action for Perfect Fluids
• The validity of separate-universe approach in transient ultra-slow-roll inflation
• Inflationary perturbations with Lifshitz scaling
• Curvature perturbations from vacuum transition during inflation
• Adiabatic fluctuations from cosmic strings in a contracting universe
• Generalized neutrino isocurvature
• Inflation with vector fields revisited: heavy entropy perturbations and primordial black holes
• On the four-dimensional effective theories in brane-worlds
• $\delta N$ formalism with gradient interactions
• Conservation of nonlinear curvature perturbations on super-Hubble scales
• Slow-roll corrections in multi-field inflation: a separate universes approach
• Cosmological implications of the hydrodynamical phase of group field theory
• Quantum gravity effects on space-time
• Planck isocurvature constraint on primordial black holes lighter than a kiloton
• Spectator fields and their imprints on the Cosmic Microwave Background
• Emergence of phantom cold dark matter from spacetime diffusion
• Scalar cosmological perturbations in the Gauss-Bonnet braneworld
• Logamediate inflation in DGP cosmology driven by a non-canonical scalar field
• Time-reversed Stochastic Inflation
• Non-linear effects in early Universe cosmology
• Inflation: a quantum laboratory on cosmological scales
• Gravity of Cosmological Perturbations in the CMB
• Passive Curvaton
• Primordial Black Holes: A Review of Formation and Evolution
• Non-Gaussianity after many-field reheating
• Intermediate inflation in generalized non-minimal derivative coupling model
• Non-Adiabatic Perturbations from Single-Field Inflation
• Effect of stochastic kicks on primordial black hole abundance and mass via the compaction function
• Cosmological signatures of brane inflation
• Wronskian Formulation of the Spectrum of Curvature Perturbations
• Uniform rate inflation on the brane
• Separate universe in multifield inflation: a phase-space approach
• Non-Gaussianity in D3-brane inflation
• $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation
• Squeezed bispectrum from multi-field inflation with curved field space metric
• Testing Inflationary Cosmology
• The Black Hole Window on Cosmic Inflation
• The $R^2$-Higgs inflation with two Higgs doublets
• Dynamically generated tilt of isocurvature fluctuations
• Study of General Relativity and $f(R)$ Modified Gravity with Cosmological Constant for Einstein and Jordan Frames
• Primordial black hole formation in k-inflation models
• Calculating the power spectrum in stochastic inflation by Monte Carlo simulation and least squares curve fitting
• Construction and applications of the manifestly gauge invariant expressions of the solutions of the cosmological perturbation theory
• Inflationary spectral tilts as a result of the dilatation symmetry breaking
• A note on the (non-)conservation of curvature perturbation
• A Tail of Eternal Inflation
• Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems