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A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation

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arxiv gr-qc/9302019 v1 pith:4I6NBEWB submitted 1993-02-18 gr-qc astro-phhep-ph

A more accurate analytic calculation of the spectrum of cosmological perturbations produced during inflation

classification gr-qc astro-phhep-ph
keywords inflationapproximationduringperturbationsproducedaccurateanalyticangle
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Formulae are derived for the spectra of scalar curvature perturbations and gravitational waves produced during inflation, special cases of which include power law inflation, natural inflation in the small angle approximation and inflation in the slow roll approximation.

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Cited by 9 Pith papers

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

  1. Time-reversed stochastic inflation in the quantum well

    astro-ph.CO 2026-05 unverdicted novelty 7.0

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

  2. Dark Photon Dark Matter from Quantum Fluctuations during Starobinsky Inflation

    hep-ph 2026-07 conditional novelty 6.0

    Dark photons produced by quantum fluctuations during Starobinsky inflation must have a mass of 5.6–7.4 µeV to be all the dark matter.

  3. (The) Wiggles going non-linear

    astro-ph.CO 2026-05 unverdicted novelty 6.0

    Calibrates a one-parameter semi-analytic damping model for oscillatory primordial power spectrum features using N-body simulations and validates sub-percent accuracy via GPR emulation when modulation frequency is high enough.

  4. Friction in Stochastic Inflation

    astro-ph.CO 2025-11 accept novelty 6.0

    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 ...

  5. (The) Wiggles going non-linear

    astro-ph.CO 2026-05 unverdicted novelty 5.0

    N-body simulations calibrate a one-parameter damping model that predicts the non-linear matter power spectrum from wiggly primordial spectra to sub-percent accuracy when wiggle frequency is high enough.

  6. Inflation from a Weyl-flat null origin

    hep-ph 2026-04 unverdicted novelty 5.0

    Single-field inflation with ε(N) approaching a constant in (0,1) at early times forms an asymptotic universality class with a Weyl-flat null origin while producing ns and r values compatible with Planck data.

  7. Bayesian analysis of $\alpha$-Starobinsky model with Planck, ACT and DESI data

    astro-ph.CO 2026-03 conditional novelty 5.0

    With Planck+ACT+DESI, pure Starobinsky requires N*>60 while free α shows a 1σ preference for log10 α>0; ACT lensing adds little to the primordial constraints.

  8. Low-reheating scenario in dark Higgs inflation and its impact on dark photon dark matter production

    hep-ph 2025-11 unverdicted novelty 5.0

    A dark U(1)_D model with dark Higgs inflation and low reheating allows dark photon dark matter to achieve the observed relic density for a wider range of couplings, with inflation predictions matching Planck, BICEP/Ke...

  9. Comment on: "Third-order corrections to the slow-roll expansion: Calculation and constraints with Planck, ACT, SPT, and BICEP/Keck [2025 PDU 47 101813]"

    astro-ph.CO 2026-03 accept novelty 2.0

    Several terms in the third-order slow-roll power spectra are incorrect because three-dimensional integrals were evaluated by integrating a truncated Taylor expansion instead of Taylor-expanding the integral.