Abstract

Rich clusters of galaxies, the largest virialized systems known, place powerful constraints on cosmology. Some of the fundamental questions that can be addressed with clusters of galaxies include: What is the mass-density of the universe? and how is the mass distributed? We show that several independent methods utilizing clusters of galaxies – cluster mass-to-light ratio, baryon fraction in clusters, and cluster evolution – all indicate the same robust result: the mass-density of the universe is low, Ω m ≃0.25 , and the mass approximately traces light on large scales. Combining the cluster results with recent observations of high-redshift supernovae and the cosmic microwave background anisotropy spectrum indicates a remarkable consistency among these independent, nearly orthogonal methods; the combined results, presented in a cosmic triangle plot, suggest a universe that is lightweight, is accelerating, and is flat.

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