Consistency of the nonflat Λ CDM model with the new result from BOSS

Abstract

Using 137,562 quasars in the redshift range 2.1 ≤z ≤3.5 from the data release 11 (DR11) of the baryon oscillation spectroscopic survey (BOSS) of Sloan Digital Sky Survey (SDSS)-III, the BOSS-SDSS collaboration estimated the expansion rate H (z =2.34 )=222 ±7 km /s /Mpc of the Universe, and reported that this value is in tension with the predictions of flat Λ CDM model at around a 2.5 σ level. In this paper, we briefly describe some attempts made in the literature to relieve the tension, and show that the tension can naturally be alleviated in a nonflat Λ CDM model with positive curvature. We also perform the observational consistency check by considering the constraints on the nonflat Λ CDM model from Planck, WP and BAO data. We find that the nonflat Λ CDM model constrained with Planck+WP data fits better to the line of sight measurement H (z =2.34 )=222 ±7 km /s /Mpc , but only at the expense of still having a poor fit to the BAO transverse measurements.