CoChat
Sign Up
Cited by 714Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesBlack Holes and Theoretical Physics

The DOI matches its Crossref record; 21 of the 21 references it cites were found in a registry or an index.

Formalizing the slow-roll approximation in inflation

Open access
Liddle, Andrew R., Parsons, Paul, Barrow, John D.·1994·Physical Review D
DOI 10.1103/physrevd.50.7222
Open this paper in CoChat — free accountOpen PDF

Abstract

The meaning of the inflationary slow-roll approximation is formalized. Comparisons are made between an approach based on the Hamilton-Jacobi equations, governing the evolution of the Hubble parameter, and the usual scenario based on the evolution of the potential energy density. The vital role of the inflationary attractor solution is emphasized, and some of its properties described. We propose a new measure of inflation, based upon contraction of the comoving Hubble length as opposed to the usual e-foldings of physical expansion, and derive relevant formulas. We introduce an infinite hierarchy of slow-roll parameters, and show that only a finite number of them are required to produce results to a given order. The extension of the slow-roll approximation into an analytic slow-roll expansion, converging on the exact solution, is provided. Its role in calculations of inflationary dynamics is discussed. We explore rational approximants as a method of extending the range of convergence of the slow-roll expansion up to, and beyond, the end of inflation.

Overview

Integrity signals

Registry

Crossref · 10.1103/physrevd.50.7222

Cites

21 of 21 references verified0 citation errors · 0 not checkable

Statistics

Recomputing p-values needs the paper’s full text.

Verification

Claims the paper makes

We couldn’t retrieve this paper’s full text, so its claims and self-check weren’t run. The registry and citation checks still apply.

Claims other papers make about this one

Each is checked against this paper’s own text: does it say what the citing paper says it does?

Citations

Cites

Flagged first, then by citations

Show all 21 references

Research works printed but not linked: 1

  1. W. H. Press, 1993, Numerical Recipes, 2nd ed.

Cited by

Sorted by citations

Items 501–600 of 708

Related

See all

Metadata

Authors
Liddle, A. R., Parsons, P., & Barrow, J. D.
Affiliations
University of Sussex (GB)
ORCID
Venue
Physical Review D
Publisher
American Physical Society (APS)
Published
1994-12-15
Volume
50
Issue
12
Pages
7222-7232
ISSN
0556-2821 (ISSN-L)
DOI
10.1103/physrevd.50.7222
OpenAlex
W2067502036
Cited by
714
References
21
Citations by year
2026: 28 · 2025: 40 · 2024: 48 · 2023: 34 · 2022: 33 · 2021: 30 · 2020: 41 · 2019: 36 · 2018: 39 · 2017: 45 · 2016: 35 · 2015: 39 · 2014: 19 · 2013: 16 · 2012: 15
FWCI
11.74
Type
journal article
Language
en
Open access
Licence
link.aps.org/licenses/aps-default-license (vor)
Locations
  • Physical review. D. Particles, fields, gravitation, and cosmology/Physical review. D. Particles and fields (publishedVersion)
  • PubMed (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Black Holes and Theoretical Physics
Keywords
slow-roll approximation, cosmic inflation, Hamilton-Jacobi equation, Hubble parameter evolution, inflationary attractors, slow-roll parameters, rational approximants, end of inflation, scalar field potential

About these checks

Registry, retraction, Cites and statistics results are computed, not judged, with one exception: a printed reference that no index lists is read once by a model before it counts as a citation error. Claims are extracted by a model and kept only when their quote appears verbatim in the text; each cited source is then checked, with a model’s help, for whether it says what the claim relies on. Those verdicts can be wrong — read the claim’s quote and the cited source before relying on one.

Statistics and arithmetic are recomputed, not judged.

Confidence bands are shown only for fields calibrated on our annotated test set. None is calibrated yet, so no band is shown.

What counts as a claim ›How we measure confidence ›How we check this ›

Are you an author, or do you see a problem with this page? Request a review