Curvature constraints from large scale structure
Open accessAbstract
We modified the CLASS code in order to include relativistic galaxy number counts in spatially curved geometries; we present the formalism and study the effect of relativistic corrections on spatial curvature. The new version of the code is now publicly available. Using a Fisher matrix analysis, we investigate how measurements of the spatial curvature parameter Ω K with future galaxy surveys are affected by relativistic effects, which influence observations of the large scale galaxy distribution. These effects include contributions from cosmic magnification, Doppler terms and terms involving the gravitational potential. As an application, we consider angle and redshift dependent power spectra, which are especially well suited for model independent cosmological constraints. We compute our results for a representative deep, wide and spectroscopic survey, and our results show the impact of relativistic corrections on spatial curvature parameter estimation. We show that constraints on the curvature parameter may be strongly biased if, in particular, cosmic magnification is not included in the analysis. Other relativistic effects turn out to be subdominant in the studied configuration. We analyze how the shift in the estimated best-fit value for the curvature and other cosmological parameters depends on the magnification bias parameter, and find that significant biases are to be expected if this term is not properly considered in the analysis.
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A non-vanishing space curvature needs to face model-building issues in inflation and is in tension with the analysis by Di Dio et al. (2016).
“Note that a non-vanishing space curvature needs to face model-building issues in inflation and in tension with the analysis by Di Dio et al. (2016).”
From Fundamental constants: from measurement to the universe, a window on gravitation and cosmology (2025) · cites this paper as Di Dio et al. 2016
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Flagged first, then by citations
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- Authors
- Dio, E. D., Montanari, F., Raccanelli, A., Durrer, R., Kamionkowski, M., & Lesgourgues, J.
- Affiliations
- Trieste Astronomical Observatory (IT)
- University of Geneva (CH)
- Johns Hopkins University (US)
- Venue
- Journal of Cosmology and Astroparticle Physics
- Publisher
- IOP Publishing
- Published
- 2016-06-07
- Volume
- 2016
- Issue
- 06
- Pages
- 013-013
- ISSN
- 1475-7508 (ISSN-L)
- 1475-7516
- OpenAlex
- W2317251229
- Cited by
- 61
- References
- 128
- Citations by year
- 2026: 3 · 2025: 4 · 2024: 4 · 2023: 3 · 2022: 8 · 2021: 8 · 2020: 8 · 2019: 6 · 2018: 11 · 2017: 5 · 2016: 1
- FWCI
- 3.67
- Type
- journal article
- Language
- en
- Open access
- bronze
- doi.org
- Licence
- Locations
- Journal of Cosmology and Astroparticle Physics (publishedVersion)
- arXiv (Cornell University) (acceptedVersion)
- RWTH Publications (RWTH Aachen) (submittedVersion)
- Padua Research Archive (University of Padova) (submittedVersion)
- arXiv (Cornell University)
- Funders
- National Science Foundation (0244990)
- National Aeronautics and Space Administration (NASA NNX15AB18G, NNX15AB18G)
- John Templeton Foundation
- Johns Hopkins University (0244990)
- Schweizerischer Nationalfonds zur Förderung der Wissenschaftlichen Forschung
- Topics
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Cosmology and Gravitation Theories
- Physical Sciences › Physics and Astronomy › Astronomy and Astrophysics › Galaxies: Formation, Evolution, Phenomena
- Physical Sciences › Physics and Astronomy › Nuclear and High Energy Physics › Dark Matter and Cosmic Phenomena
- Keywords
- spatial curvature, relativistic corrections, galaxy number counts, CLASS code, cosmic magnification, magnification bias, gravitational potential, large-scale structure, Fisher matrix analysis, cosmological parameter estimation, spectroscopic survey
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 ›
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