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Cited by 804Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesGalaxies: Formation, Evolution, Phenomena

A general proof of the conservation of the curvature perturbation

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Lyth, David H, Malik, Karim A, Sasaki, Misao·2005·Journal of Cosmology and Astroparticle Physics
DOI 10.1088/1475-7516/2005/05/004
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Abstract

Without invoking a perturbative expansion, we define the cosmological curvature perturbation, and consider its behaviour assuming that the universe is smooth over a sufficiently large comoving scale. The equations are simple, resembling closely the first-order equations, and they lead to results which generalize those already proven in linear perturbation theory and (in part) in second-order perturbation theory. In particular, the curvature perturbation is conserved provided that the pressure is a unique function of the energy density.

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  • Scalar fields need not only couple through the potential but may also couple kinetically.

    “Generally, the scalar fields need not only couple through the potential, but may also couple kinetically [44, 45, 46, 47].”

    From Conditions for large non-Gaussianity in two-field slow-roll inflation (2008) · cites this paper as [47]

    Section 3.1 mentions scalar fields only as an example for which negligible anisotropic stress can be verified; section 2.3 treats matter as a perfect fluid. Searches for kinetic coupling and coupling through a potential found no passage in our copy addressing how scalar fields couple. (LLM, conf=0.73)

    Experimental — accuracy not yet measured

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Research works printed but not linked: 29

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Cited by

Sorted by citations

Authors
Lyth, D. H., Malik, K. A., & Sasaki, M.
Affiliations
  • Lancaster University (GB)
  • Kyoto University (JP)
ORCID
Venue
Journal of Cosmology and Astroparticle Physics
Publisher
IOP Publishing
Published
2005-05-01
Volume
2005
Issue
05
Pages
004-004
ISSN
  • 1475-7508 (ISSN-L)
  • 1475-7516
DOI
10.1088/1475-7516/2005/05/004
OpenAlex
W2037188263
Cited by
804
References
0
Citations by year
2026: 30 · 2025: 47 · 2024: 26 · 2023: 41 · 2022: 26 · 2021: 33 · 2020: 19 · 2019: 22 · 2018: 23 · 2017: 16 · 2016: 45 · 2015: 36 · 2014: 38 · 2013: 65 · 2012: 50
FWCI
25.57
Type
journal article
Language
en
Open access
Licence
Locations
  • Journal of Cosmology and Astroparticle Physics (publishedVersion)
  • arXiv (Cornell University) (submittedVersion)
  • CERN Document Server (European Organization for Nuclear Research) (submittedVersion)
  • Lancaster EPrints (Lancaster University) (submittedVersion)
  • arXiv (Cornell University)
Topics
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
  • Physical Sciences › Physics and Astronomy › Statistical and Nonlinear Physics › Noncommutative and Quantum Gravity Theories
  • Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
Keywords
second-order perturbation theory, linear perturbation theory, first-order equations

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