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Article Dans Une Revue JCAP Année : 2022

Constraining spatial curvature with large-scale structure

Résumé

We analyse the clustering of matter on large scales in an extension of the concordance model that allows for spatial curvature. We develop a consistent approach to curvature and wide-angle effects on the galaxy 2-point correlation function in redshift space. In particular we derive the Alcock-Paczynski distortion of fσ$_{8}$, which differs significantly from empirical models in the literature. A key innovation is the use of the 'Clustering Ratio', which probes clustering in a different way to redshift-space distortions, so that their combination delivers more powerful cosmological constraints. We use this combination to constrain cosmological parameters, without CMB information. In a curved Universe, we find that Ω$_{m, 0}$=0.26± 0.04 (68% CL). When the clustering probes are combined with low-redshift background probes — BAO and SNIa — we obtain a CMB-independent constraint on curvature: Ω$_{K, 0}$ = 0.0041$_{-0.0504}$$^{+0.0500}$. We find no Bayesian evidence that the flat concordance model can be rejected. In addition we show that the sound horizon at decoupling is r$_{d}$ = 144.57 ± 2.34 Mpc, in agreement with its measurement from CMB anisotropies. As a consequence, the late-time Universe is compatible with flat ΛCDM and a standard sound horizon, leading to a small value of H$_{0}$, without assuming any CMB information. Clustering Ratio measurements produce the only low-redshift clustering data set that is not in disagreement with the CMB, and combining the two data sets we obtain Ω$_{K, 0}$ = -0.023 ± 0.010.

Dates et versions

hal-03702108 , version 1 (22-06-2022)

Identifiants

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Julien Bel, Julien Larena, Roy Maartens, Christian Marinoni, Louis Perenon. Constraining spatial curvature with large-scale structure. JCAP, 2022, 09, pp.076. ⟨10.1088/1475-7516/2022/09/076⟩. ⟨hal-03702108⟩
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