2013/06/27 by Rodrigo S. Gonçalves, R. S. Goncalves, J. S. Alcaniz +3
Decision Sciences · Mathematics · Physics and Astronomy · #Astronomy #Astrophysics #COSMIC cancer database #Combinatorics #Computer science #Cosmology #Cosmology and Gravitation Theories #Duality (order theory) #Galaxies: Formation, Evolution, Phenomena #Galaxy #Galaxy cluster #Mathematics #Monte Carlo method #Observational study #Physics #Relation (database) #Sample (material) #Sigma #Statistical physics #Statistics #Theoretical physics #astro-ph.CO #demographic modeling and climate adaptation #gr-qc #hep-ph
paper · pdf · doi:10.1103/physrevd.91.027302
published as Phys. Rev. D 91, 027302 (2015) · 5 pages, 3 figures, latex
arxiv created 2013/06/27 · openalex publication_date 2015/01/27 · arxiv updated 2015/01/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/05
One of the fundamental hypotheses in observational cosmology is the validity of the so-called cosmic distance-duality relation. In this paper, we perform Monte Carlo simulations based on the method developed in Holanda, Gon\ifmmode \mbox\cc\else \cc\fialves, and Alcaniz [J. Cosmol. Astropart. Phys. 06 (2012) 022] to answer the following question: what is the number of galaxy clusters observations Ncrit needed to check the validity of this relation at a given confidence level? At 2\ensuremathσ, we find that Ncrit should be increased at least by a factor of 5 relative to the current sample size if we assume the current observational uncertainty \ensuremathσobs. Reducing this latter quantity by a factor of 2, we show that the present amount of data would be already close to the required number to check the validity of the cosmic distance-duality relation at 2\ensuremathσ.