Pith. sign in

REVIEW 42 cited by

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

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv astro-ph/0003278 v2 pith:QQ6QSJGE submitted 2000-03-20 astro-ph gr-qchep-phhep-th

classification astro-phgr-qchep-phhep-th
keywords perturbationscurvatureevolutionperturbationlargescalesapproachbackground
verification ladder T0 review T1 audit T2 compute T3 formal

Signed reviews

No signed human review yet.

0 comments
read the original 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.

Discussion (0). Continue with ORCID to comment.

Forward citations

Cited by 42 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

  1. Quantum Stochastic Inflation

    hep-th 2026-06 unverdicted novelty 8.0 of 10

    Stochastic inflation emerges as GKLS open-system dynamics from tracing entangled modes entering a coarse-grained de Sitter patch, reproducing the classical phase-space Fokker-Planck equation.

  2. Compaction function in stochastic inflation: a \texttt{FOREST} of type I and II primordial black holes

    astro-ph.CO 2026-06 unverdicted novelty 7.0 of 10

    Stochastic binary tree method computes compaction function in inflation to distinguish type I/II PBH fluctuations, finding broader mass distributions and type-II dominance in quantum regimes of a toy model.

  3. Time-reversed stochastic inflation in the quantum well

    astro-ph.CO 2026-05 unverdicted novelty 7.0 of 10

    Exact solution of time-reversed stochastic inflation in the quantum well yields curvature perturbation distributions with faster-decaying exponential tails than forward stochastic inflation.

  4. Stochastic inflation as an open quantum system II: open effective field theory and stochastic matching

    hep-th 2026-05 unverdicted novelty 7.0 of 10

    Develops open EFT for stochastic inflation with a distinct stochastic RG channel, derives nonlocal master equations including Fokker-Planck and Klein-Kramers forms, and demonstrates stochastic renormalization with an ...

  5. Disentangling Similarity and Relatedness in Topic Models

    cs.CL 2026-03 unverdicted novelty 7.0 of 10

    Topic models lie on a spectrum from thematic-relatedness-rich to similarity-rich, and that position predicts which downstream tasks they handle well.

  6. Cosmological long-wavelength solutions in non-adiabatic multi-fluid systems

    gr-qc 2025-12 unverdicted novelty 7.0 of 10

    Nonlinear long-wavelength solutions are constructed for cosmological perturbations in non-adiabatic multi-fluid systems, admitting adiabatic and entropy modes at leading order via ADM and gradient expansion.

  7. Isocurvature Induced Gravitational Waves at Pulsar Timing Arrays

    astro-ph.CO 2025-12 unverdicted novelty 7.0 of 10

    The work shows that free-streaming dark radiation isocurvature produces a qualitatively different gravitational wave spectrum than cold dark matter isocurvature and derives constraints on isocurvature power spectra ar...

  8. Harvesting primordial black holes from stochastic trees with $\texttt{FOREST}$

    astro-ph.CO 2025-01 conditional novelty 7.0 of 10

    A stochastic-branching-tree implementation of inflation, FOREST, computes curvature maps and primordial black hole mass functions with cloud-in-cloud effects included.

  9. Curvature Perturbations in the Effective Field Theory of Inflation

    gr-qc 2019-08 conditional novelty 7.0 of 10

    In single-field inflation, conservation of the comoving curvature perturbation implies conservation of the unitary and synchronous curvatures, but not the reverse, with observable consequences in ultra-slow-roll and a...

  10. Superhorizon curvature perturbations in hybrid inflation revisited

    astro-ph.CO 2026-06 unverdicted novelty 6.0 of 10

    Hybrid inflation's waterfall tachyonic instability grows isocurvature modes that convert to curvature perturbations at the field-space turn, yielding a k^{3}-peaked spectrum with always-positive f_NL that enhances PBH...

  11. Probing Confining Dark Sectors with Cosmological Perturbations

    hep-ph 2026-06 unverdicted novelty 6.0 of 10

    Composite dark matter from a keV–MeV confining phase transition sources an IR-enhanced curvature spectrum that competes with free-streaming suppression, yielding concrete CMB and Lyman-α bounds on transition strength ...

  12. Stochastic constant-roll inflation beyond the hilltop with the spectral method

    astro-ph.CO 2026-06 unverdicted novelty 6.0 of 10

    Spectral solution of the Fokker-Planck operator for hilltop constant-roll inflation shows rare crossing trajectories dominate the mean, so the median yields a coarse-grained ΔN distribution whose exponential tail flat...

  13. Eigenvalue formulation of Stochastic Inflation and application to large perturbation generating inflationary features

    astro-ph.CO 2026-05 unverdicted novelty 6.0 of 10

    A new eigenvalue method is introduced to compute the PDF of stochastic e-folds in inflation, recovering a known flat-potential result and analyzing constant-drift cases in narrow and broad well limits.

  14. Locality in effective field theory for inflationary soft modes

    gr-qc 2026-05 unverdicted novelty 6.0 of 10

    The authors define a locality condition for hard-mode states during inflation that unifies local effective dynamics for soft modes, suppression of loop corrections, generalized soft theorems, and absence of infrared d...

  15. STOchastic LAttice Simulation of hybrid inflation

    astro-ph.CO 2026-03 conditional novelty 6.0 of 10

    In hybrid inflation, stochastic noise breaks topological defects into sub-Hubble-scale structures, and only the n=1 case leaves a global imprint on the curvature perturbation.

  16. When inflationary perturbations refuse to classicalise: the role of non-Gaussianity in Wigner negativity

    gr-qc 2026-01 conditional novelty 6.0 of 10

    In ultra-slow-roll inflation, the Wigner function of the inflationary Goldstone field becomes negative and its negativity grows with the scale factor squared, so the perturbations do not automatically become classical.

  17. Friction in Stochastic Inflation

    astro-ph.CO 2025-11 accept novelty 6.0 of 10

    Adding a constant drift to time-reversed stochastic inflation in a flat potential yields an exact curvature distribution with exponential tails; forward and reverse delta-N formalisms differ by a factor of two in the ...

  18. Trispectrum in Extended USR Model with Transition to SR

    astro-ph.CO 2025-09 conditional novelty 6.0 of 10

    In the two-phase USR-SR inflation model, g_NL = 25 h^3 / (3 (h-6)^3) and tau_NL = 9 h^4 / (h-6)^4, confirmed by both delta-N and in-in formalisms.

  19. Anisotropic Gravitational Waves from Anisotropic Axion Rotation

    hep-ph 2025-08 conditional novelty 6.0 of 10

    A transiently dominant rotating axion sources an induced gravitational wave background whose amplitude and large-scale anisotropy trace the axion's isocurvature fluctuations, with detection prospects for BBO and DECIGO.

  20. Primordial black hole induced gravitational waves in $f(R)$ gravity

    astro-ph.CO 2025-08 unverdicted novelty 6.0 of 10

    In R^(1+ε) gravity, exponential growth of scalar perturbations during a PBH-driven early matter era enhances the induced gravitational wave signal, with Ω_GW ∝ f on large scales.

  21. Stochastic inflation as a superfluid

    gr-qc 2025-06 conditional novelty 6.0 of 10

    Inflationary superhorizon fluctuations obey superfluid-type continuity and Euler equations, with quantum pressure becoming relevant in ultra-slow-roll phases.

  22. Generalized neutrino isocurvature

    hep-ph 2025-04 unverdicted novelty 6.0 of 10

    Generalizes neutrino isocurvature by introducing a mixing angle for the neutrino-matter perturbation ratio and derives first Planck limits on the angle.

  23. Curvature Perturbations from First-Order Phase Transitions: Implications to Black Holes and Gravitational Waves

    hep-ph 2025-03 unverdicted novelty 6.0 of 10

    Covariant analysis of curvature perturbations from first-order phase transitions reveals gauge-dependent overestimation of primordial black holes and gravitational waves in prior non-covariant calculations, leading to...

  24. Cosmological perturbations meet Wheeler DeWitt

    hep-th 2024-12 conditional novelty 6.0 of 10

    The semiclassical Wheeler-DeWitt wavefunction matches the perturbation-theory wavefunction of cosmology up to a specific phase and normalization, verified in exponential-potential and slow-roll mini-superspace models.

  25. It\^{o}, Stratonovich, and zoom-in schemes in stochastic inflation

    astro-ph.CO 2024-11 accept novelty 6.0 of 10

    An alternating drift-and-kick 'zoom-in' scheme for stochastic inflation is equivalent to the Itô interpretation, and the Itô-Stratonovich difference vanishes in the full non-Markovian setup.

  26. Cosmological Collider Physics and the Curvaton

    hep-ph 2019-08 accept novelty 6.0 of 10

    In the curvaton scenario, heavy particles with masses near the inflationary Hubble scale generate observable non-Gaussian signals because the curvaton sector can have a much lower EFT cutoff than the inflaton sector.

  27. How Dilatation Invariance Suppresses Loop Corrections to Curvature Perturbations on CMB Scales

    astro-ph.CO 2026-08 conditional novelty 5.0 of 10

    Dilatation invariance forces the non-linear curvature perturbation on super-Hubble scales to depend only on the decaying/growing mode, suppressing loop corrections to the CMB power spectrum even with sharp transitions.

  28. The Magnetic Origin of Primordial Black Holes: Ultralight PBHs and Secondary GWs

    astro-ph.CO 2026-05 unverdicted novelty 5.0 of 10

    Inflationary magnetic fields induce curvature perturbations that form ultralight PBHs, generating a stochastic GW background with model-specific features.

  29. Primordial black hole dark matter from ultra-slow-roll inflation in Horndeski gravity

    gr-qc 2025-12 conditional novelty 5.0 of 10

    A kinetic cubic Horndeski coupling creates an ultra-slow-roll phase that amplifies curvature perturbations enough to produce asteroid-mass primordial black holes, potentially 90% of dark matter.

  30. Stochastic Gravitational Waves from Modulated Reheating

    astro-ph.CO 2025-10 unverdicted novelty 5.0 of 10

    A spectator scalar in modulated reheating with large Higgs-like couplings generates detectable scalar-induced stochastic gravitational waves for BBO and DECIGO, but only outside perturbative low-energy extrapolations.

  31. Implications for Pulsar Timing Arrays of Sub-solar Black Hole Detections: From LVK to Einstein Telescope and Cosmic Explorer

    astro-ph.CO 2025-08 conditional novelty 5.0 of 10

    A Bayesian analysis shows that a future sub-solar PBH detection would make the primordial SIGW interpretation of PTA data favored over the SMBH interpretation, but this preference is driven by the detection prior.

  32. Ward Identity Constraints on Loop Corrections in Non-Attractor Inflation

    astro-ph.CO 2025-06 unverdicted novelty 5.0 of 10

    Ward identities derived from perturbation-theory symmetries enforce non-perturbative constraints on the infrared power spectrum and guarantee conservation of super-horizon modes in non-attractor inflation.

  33. Towards Stochastic Inflation in Higher-Curvature Gravity

    gr-qc 2025-06 unverdicted novelty 5.0 of 10

    Stochastic inflation with Gauss-Bonnet coupling to the inflaton yields first-passage-time estimates of the scalar power spectrum and PBH mass fraction in slow-roll and ultra-slow-roll limits.

  34. $\delta n$ formalism: A new formulation for the probability density of the curvature perturbation

    astro-ph.CO 2025-05 conditional novelty 5.0 of 10

    A reformulation of the δN formalism that counts e-folds forward and exploits the superhorizon correlation between field and velocity to express the curvature perturbation PDF as a one-dimensional change of variables.

  35. A Match Made in Heaven: Linking Observables in Inflationary Cosmology

    hep-th 2025-05 unverdicted novelty 5.0 of 10

    In dynamical Chern-Simons inflation the parity-odd trispectrum is a double copy of the mixed bispectrum and parity-odd power spectrum via a prior factorization formula.

  36. Curvature perturbations from vacuum transition during inflation

    astro-ph.CO 2025-02 conditional novelty 5.0 of 10

    Vacuum transitions during inflation, modulated by a light spectator field, can generate curvature perturbations with non-Gaussianity fNL ~ O(10) in a Higgs inflation setup.

  37. Stochastic inflation and non-perturbative power spectrum beyond slow roll

    astro-ph.CO 2024-11 conditional novelty 5.0 of 10

    A numerical stochastic ΔN code reproduces the slow-roll power spectrum and shows that the time-independent non-perturbative spectrum fails at ultra-slow-roll transitions.

  38. Natural Inflation with a negative cosmological constant

    gr-qc 2026-06 unverdicted novelty 4.0 of 10

    An exactly solvable inflation model with negative cosmological constant from quantum cosmology is tested against Planck, ACT, and DESI data.

  39. How large are curvature perturbations from slow first-order phase transitions? A gauge-invariant analysis

    hep-ph 2026-01 conditional novelty 4.0 of 10

    Slow first-order phase transitions generate comoving curvature perturbations too small to form primordial black holes, with a new fitting template for the power spectrum.

  40. Conservation of superhorizon curvature perturbations at one loop: Backreaction in the in-in formalism and Renormalization

    astro-ph.CO 2025-02 conditional novelty 4.0 of 10

    Superhorizon curvature perturbations remain conserved at one-loop order in single-field inflation with a transient non-slow-roll period when backreaction and renormalization are included.

  41. Primordial Black Holes: A Review of Formation and Evolution

    gr-qc 2026-06 unverdicted novelty 3.0 of 10

    Review of PBH formation via compaction function and relativistic thresholds in FLRW backgrounds, arguing that memory burden and curvature corrections halt evaporation to leave Planck-scale relics.

  42. From inflation to hot big bang -- a tutorial on cosmological perturbations

    hep-ph 2026-07 accept novelty 1.0 of 10

    A tutorial deriving cosmological perturbation equations from inflation through reheating, with explicit gauge-invariant computations and Python scripts.

Pith tools