Cited by 203Cosmology and Gravitation TheoriesNoncommutative and Quantum Gravity TheoriesDark Matter and Cosmic Phenomena

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The evidence for a spatially flat Universe

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Efstathiou, George, Gratton, Steven·2020·Monthly Notices of the Royal Astronomical Society: Letters

DOI 10.1093/mnrasl/slaa093

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Abstract

ABSTRACT We use a new and statistically powerful Planck likelihood to show that the Planck temperature and polarization spectra are consistent with a spatially flat Universe, in contrast to recent claims in the literature. When combined with other astrophysical data, particularly geometrical measurements of baryon acoustic oscillations, our likelihood constrains the Universe to be spatially flat to extremely high precision. We deduce a curvature density parameter ΩK = 0.0004 ± 0.0018 in good agreement with the 2018 results of the Planck team. In the context of inflationary cosmology, the observations offer strong support for models of inflation with a large number of e-foldings and disfavour models of incomplete inflation.

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Planck 2015 results
Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., Bartlett, J. G., Bartolo, N., et al. (2016) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201525830 · Cited by 10,685
Self-citation
Inflationary universe: A possible solution to the horizon and flatness problems
Guth, A. H. (1981) · Physical Review D · doi:10.1103/physrevd.23.347 · Cited by 9,983
Planck 2013 results. XVI. Cosmological parameters
Ade, P. A. R., Aghanim, N., Armitage-Caplan, C., Arnaud, M., Ashdown, M., Atrio-Barandela, F., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., et al. (2014) · Astronomy and Astrophysics · doi:10.1051/0004-6361/201321591 · Cited by 8,459
Self-citation
Planck 2015 results
Ade, P. A. R., Aghanim, N., Arnaud, M., Ashdown, M., Aumont, J., Baccigalupi, C., Banday, A. J., Barreiro, R. B., Bartlett, J. G., Bartolo, N., et al. (2016) · Research at the University of Copenhagen (University of Copenhagen) · doi:10.17863/cam.32861 · Cited by 5,299
Self-citation
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Wilks, S. S. (1938) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177732360 · Cited by 3,729
Planck 2018 results. VI. Cosmological parametersPreprint
Planck Collaboration, Aghanim, N., Akrami, Y., Ashdown, M., Aumont, J., Baccigalupi, C., Ballardini, M., Banday, A. J., Barreiro, R. B., Bartolo, N., et al. (2018) · arXiv (Cornell University) · doi:10.48550/arxiv.1807.06209 · Cited by 3,364
Self-citation
The clustering of galaxies in the completed SDSS-III Baryon Oscillation Spectroscopic Survey: cosmological analysis of the DR12 galaxy sample
Alam, S., Ata, M., Bailey, S., Beutler, F., Bizyaev, D., Blazek, J. A., Bolton, A. S., Brownstein, J. R., Burden, A., Chuang, C.-H., et al. (2017) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stx721 · Cited by 3,056
The 6dF Galaxy Survey: baryon acoustic oscillations and the local Hubble constant: 6dFGS: BAOs and the local Hubble constant
Beutler, F., Blake, C., Colless, M., Jones, D. H., Staveley-Smith, L., Campbell, L., Parker, Q., Saunders, W., & Watson, F. (2011) · Monthly Notices of the Royal Astronomical Society · doi:10.1111/j.1365-2966.2011.19250.x · Cited by 2,590 · cited 1×
“…in Planck Collaboration et al. (2018b); ‘Pantheon’ denotes use of the Pantheon Type Ia supernovae sample of (Scolnic et al. 2015); ‘BAO’ denotes use of the baryonic acoustic oscillation measurements from Beutler et al. (2011); Ross et al. (2015); Alam et al. (2017) as discussed in PCP18 and EG.”
Method
Large Magellanic Cloud Cepheid Standards Provide a 1% Foundation for the Determination of the Hubble Constant and Stronger Evidence for Physics beyond ΛCDM
Riess, A. G., Casertano, S., Yuan, W., Macri, L. M., & Scolnic, D. (2019) · The Astrophysical Journal · doi:10.3847/1538-4357/ab1422 · Cited by 2,201
The clustering of the SDSS DR7 main Galaxy sample – I. A 4 per cent distance measure at z=0.15
Ross, A. J., Samushia, L., Howlett, C., Percival, W. J., Burden, A., & Manera, M. (2015) · Monthly Notices of the Royal Astronomical Society · doi:10.1093/mnras/stv154 · Cited by 1,745

Show all 41 references

Research works printed but not linked: 2

Bond, 1997, MNRAS, 291, L33, 10.1093/mnras/291.1.L33 · DOI
Linde, 1990, Contemporary Concepts in Physics, Vol. 5

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Authors: Efstathiou, G., & Gratton, S.
Affiliations: University of Cambridge (GB)
Corresponding author: Efstathiou, George
Gratton, Steven
ORCID: Efstathiou, George
Venue: Monthly Notices of the Royal Astronomical Society: Letters
Publisher: Oxford University Press (OUP)
Published: 2020-05-27
Volume: 496
Issue: 1
Pages: L91-L95
ISSN: 1745-3925 (ISSN-L)
1745-3933
DOI: 10.1093/mnrasl/slaa093
OpenAlex: W3006133234
Cited by: 203
References: 41
Citations by year: 2026: 18 · 2025: 31 · 2024: 27 · 2023: 33 · 2022: 34 · 2021: 48 · 2020: 12
FWCI: 14.26
Type: journal article
Language: en
Open access: green
arxiv.org
Licence: academic.oup.com/journals/pages/open_access/funder_policies/chorus/standard_publication_model (vor)
Locations: Monthly Notices of the Royal Astronomical Society Letters (publishedVersion)
arXiv (Cornell University) (submittedVersion)
arXiv (Cornell University)
Funders: Science and Technology Facilities Council (ST/N000927/1)
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 › Dark Matter and Cosmic Phenomena
Keywords: baryon acoustic oscillations, cosmic inflation

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