Testing Late Time Cosmic Acceleration with uncorrelated Baryon Acoustic Oscillations dataset

Baryon Acoustic Oscillations (BAO) involve measuring the spatial distribution of galaxies to determine the growth rate of cosmic structure. We derive constraints on cosmological parameters from $17$ uncorrelated BAO measurements that were collected from $333$ published data points in the effective redshift range $0.106 \leq z \leq 2.36$. We test the correlation of the subset using random covariance matrix. The $Λ$CDM model fit yields the cosmological parameters: $Ω_m = 0.261 \pm 0.028$ and $Ω_Λ= 0.733 \pm 0.021$. Combining the BAO data with the Cosmic Chronometers data, the Pantheon Type Ia supernova and the Hubble Diagram of Gamma Ray Bursts and Quasars, the Hubble constant yields $69.85 \pm 1.27 km/sec/Mpc$ and the sound horizon distance gives: $146.1 \pm 2.15 Mpc$. Beyond the $Λ$CDM model we test $Ω_K$CDM and wCDM. The spatial curvature is $Ω_k = -0.076 \pm 0.012$ and the dark energy equation of states: $w = -0.989 \pm 0.049$. {We perform AIC test to compare the 3 models and see that $Λ$CDM scores best.

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