Constraining spatial curvature with large-scale structure

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