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How to Measure the Cosmic Curvature

2007/01/09 by Ying-Qiu Gu, Gu, Ying-Qiu, M. Yu. Khlopov +1
Physics and Astronomy · #Astrophysics (astro-ph) #FOS: Physical sciences #General Relativity and Quantum Cosmology (gr-qc) #astro-ph #gr-qc

paper · pdf · doi:10.48550/arxiv.gr-qc/0701050

10 pages, 2 figures

arxiv created 2008/02/17 · arxiv updated 2009/12/01

Abstract

The conventional method to determine the cosmic curvature is to measure the total mass density Ω\rm tot. Unfortunately the observational Ω\rm tot is closely near the critical value 1. The computation of this paper shows that Ω\rm tot≈ 1 is an inevitable result for the young universe independent of the spatial topology. So the mass density is not a good criterion to determine the cosmic curvature. In this paper, we derive a new criterion based on the galactic distribution with respect to redshift z, which only depends on the cosmological principle and geometry. The different type of spatial topology will give different results, then the case can be definitely determined.

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