The DOI matches its Crossref record; 17 of the 17 references it cites were found in a registry or an index.
Adiabatic modes in cosmology
Open accessAbstract
We show that the field equations for cosmological perturbations in the Newtonian gauge always have an adiabatic solution, for which a quantity $\mathcal{R}$ is nonzero and constant in all eras in the limit of large wavelength, so that it can be used to connect observed cosmological fluctuations in this mode with those at very early times. There is also a second adiabatic mode, for which $\mathcal{R}$ vanishes for a large wavelength, and in general there may be nonadiabatic modes as well. These conclusions apply in all eras and whatever the constituents of the universe, under only a mild technical assumption about the wavelength dependence of the field equations for a large wavelength. In the absence of anisotropic inertia, the perturbations in the adiabatic modes are given for a large wavelength by universal formulas in terms of the Robertson-Walker scale factor. We discuss an apparent discrepancy between these results and what appears to be a conservation law in all modes found for a large wavelength in the synchronous gauge: it turns out that, although equivalent, the synchronous and Newtonian gauges suggest inequivalent assumptions about the behavior of the perturbations for a large wavelength.
Overview
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Integrity signals
Registry
Cites
Statistics
Verification
Claims the paper makes
The claims and statistics of this paper haven’t been checked yet.
Run the check — free, no account needed. It reads the open-access text and checks the sources it cites.
Self-check
Percentages, sums and reported differences re-computed from the paper’s own numbers.
The self-check needs the paper’s full text.
Citations
Cites
Theory of cosmological perturbations
Mukhanov, V (1992) · Physics Reports · doi:10.1016/0370-1573(92)90044-z · Cited by 3,608
Gravitation and Cosmology: Principles and Applications of the General Theory of Relativity
Weinberg, S., & Wagoner, R. V. (1973) · Physics Today · doi:10.1063/1.3128097 · Cited by 3,031
Self-citationGauge-invariant cosmological perturbations
Bardeen, J. M. (1980) · Physical Review D · doi:10.1103/physrevd.22.1882 · Cited by 2,393
Fluctuations in the New Inflationary Universe
Guth, A. H., & Pi, S.-Y. (1982) · Physical Review Letters · doi:10.1103/physrevlett.49.1110 · Cited by 2,387
Spontaneous creation of almost scale-free density perturbations in an inflationary universe
Bardeen, J. M., Steinhardt, P. J., & Turner, M. S. (1983) · Physical Review D · doi:10.1103/physrevd.28.679 · Cited by 2,073
Generating the curvature perturbation without an inflaton
Lyth, D. H., & Wands, D. (2002) · Physics Letters B · doi:10.1016/s0370-2693(01)01366-1 · Cited by 1,455
Effects of cosmological moduli fields on cosmic microwave background
Moroi, T., & Takahashi, T. (2001) · Physics Letters B · doi:10.1016/s0370-2693(01)01295-3 · Cited by 938
New approach to the evolution of cosmological perturbations on large scales
Wands, D., Malik, K. A., Lyth, D. H., & Liddle, A. R. (2000) · Physical Review D · doi:10.1103/physrevd.62.043527 · Cited by 862
Primordial density perturbation in the curvaton scenario
Lyth, D. H., Ungarelli, C., & Wands, D. (2003) · Physical Review D · doi:10.1103/physrevd.67.023503 · Cited by 782
Non-Gaussian isocurvature perturbations from inflation
Linde, A., & Mukhanov, V. (1997) · Physical Review D · doi:10.1103/physrevd.56.r535 · Cited by 777
Cited by
FIVE-YEAR WILKINSON MICROWAVE ANISOTROPY PROBE OBSERVATIONS: COSMOLOGICAL INTERPRETATION
Komatsu, E., Dunkley, J., Nolta, M. R., Bennett, C. L., Gold, B., Hinshaw, G., Jarosik, N., Larson, D., Limon, M., Page, L., et al. (2009) · The Astrophysical Journal Supplement Series · doi:10.1088/0067-0049/180/2/330 · Cited by 5,786
Galileon as a local modification of gravity
Nicolis, A., Rattazzi, R., & Trincherini, E. (2009) · Physical Review D · doi:10.1103/physrevd.79.064036 · Cited by 1,863
Cosmology and Fundamental Physics with the Euclid Satellite
The Euclid Theory Working Group, Amendola, L., Appleby, S., Bacon, D., Baker, T., Baldi, M., Bartolo, N., Blanchard, A., Bonvin, C., Borgani, S., et al. (2013) · Living Reviews in Relativity · doi:10.12942/lrr-2013-6 · Cited by 899
Desjacques, V., Jeong, D., & Schmidt, F. (2018) · Physics Reports · doi:10.1016/j.physrep.2017.12.002 · Cited by 817
Baumann, D., & McAllister, L. (2015) · Cambridge University Press eBooks · doi:10.1017/cbo9781316105733 · Cited by 532
Metadata
- Authors
- Weinberg, S.
- Venue
- Physical Review D
- Publisher
- American Physical Society (APS)
- Published
- 2003-06-06
- Volume
- 67
- Issue
- 12
- ISSN
- 0556-2821 (ISSN-L)
- 1089-4918
- OpenAlex
- W2094233594
- Cited by
- 313
- References
- 17
- FWCI
- 3.09
- Type
- journal article
- Language
- en
- Open access
- green
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
How to cite
Cite CoChat for the checks on this page, and the paper for its own findings.
- This page
- CoChat. (2026). Citation check: Adiabatic modes in cosmology. https://app.cochat.ai/papers/10.1103/physrevd.67.123504
- The paper
- Weinberg, S. (2003). Adiabatic modes in cosmology. Physical Review D. https://doi.org/10.1103/physrevd.67.123504
Data sources
Bibliographic data: Semantic Scholar, OpenAlex, Crossref.
Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.