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 accessAbstract
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.
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“The agreement between the WMAP results[15, 16, 17, 18] and the most recent analysis of the primordial deuterium abundance[46] yields”
From Phase Transitions in the Early and Present Universe (2006) · cites this paper as [46]
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Cites
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Self-citationThe cold dark matter density perturbation
Liddle, A. R., & Lyth, D. H. (1993) · Physics Reports · doi:10.1016/0370-1573(93)90114-s · Cited by 781
Self-citationStewart, E. D., & Lyth, D. H. (1993) · Physics Letters B · doi:10.1016/0370-2693(93)90379-v · Cited by 647
COBE, gravitational waves, inflation and extended inflation
Liddle, A. R., & Lyth, D. H. (1992) · Physics Letters B · doi:10.1016/0370-2693(92)91393-n · Cited by 409
Self-citationGraduated inflationary universes
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Research works printed but not linked: 1
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Modified gravity theories on a nutshell: Inflation, bounce and late-time evolution
Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Physics Reports · doi:10.1016/j.physrep.2017.06.001 · Cited by 3,045
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Nojiri, S., Odintsov, S. D., & Oikonomou, V. K. (2017) · Institutional Repositories DataBase (IRDB) · Cited by 2,078
In the realm of the Hubble tension—a review of solutions *
Di Valentino, E., Mena, O., Pan, S., Visinelli, L., Yang, W., Melchiorri, A., Mota, D. F., Riess, A. G., & Silk, J. (2021) · Classical and Quantum Gravity · doi:10.1088/1361-6382/ac086d · Cited by 2,065
Non-Gaussianity from inflation: theory and observations
Bartolo, N., Komatsu, E., Matarrese, S., & Riotto, A. W. (2004) · Physics Reports · doi:10.1016/j.physrep.2004.08.022 · Cited by 1,144
Metadata
- Authors
- Liddle, A. R., Parsons, P., & Barrow, J. D.
- Affiliations
- University of Sussex (GB)
- 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)
- 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
- green
- arxiv.org
- 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
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