Probing cosmological isotropy with Planck Sunyaev-Zeldovich galaxy clusters
C. A. P. Bengaly Jr., A. Bernui, I. S. Ferreira, J. S. Alcaniz

TL;DR
This study tests the isotropy of the universe's large-scale structure using Planck Sunyaev-Zeldovich galaxy clusters, finding no evidence of preferred directions and supporting the isotropy hypothesis.
Contribution
It introduces a statistical-geometrical method to analyze galaxy cluster distributions accounting for observational biases, confirming isotropy with PSZ2 data.
Findings
No preferred directions detected in galaxy clusters
Results support large-angle isotropy of cosmic structures
Observational biases properly accounted for in analysis
Abstract
We probe the statistical isotropy hypothesis of the large-scale structure with the second Planck Sunyaev-Zeldovich (PSZ2) galaxy clusters data set. Our analysis adopts a statistical-geometrical method which compares the 2-point angular correlation function of objects in antipodal patches of the sky. Given possible observational biases, such as the presence of anisotropic sky cuts and the non-uniform exposure of Planck's instrumentation, ensembles of Monte Carlo realisations are produced in order to assess the significance of our results. When these observational effects are properly taken into account, we find neither evidence for preferred directions in the sky nor signs of large-angle features in the galaxy clusters celestial distribution. The PSZ2 data set is, therefore, in good concordance with the fundamental hypothesis of large-angle isotropy of cosmic objects.
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