42 high-redshift Type Ia supernovae yield Omega_M = 0.28 for a flat universe and show the cosmological constant is positive at 99% confidence.
A., & Fan, X
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abstract
The existence of the three most massive clusters of galaxies observed so far at z>0.5 is used to constrain the mass density parameter of the universe, Omega, and the amplitude of mass fluctuations, sigma_8. We find Omega=0.2 (+0.3,-0.1), and sigma_8=1.2 (+0.5,-0.4) (95 %). We show that the existence of even the single most distant cluster at z=0.83, MS1054-03, with its large gravitational lensing mass, high temperature, and large velocity dispersion, is sufficient to establish powerful constraints. High-density, Omega=1 (sigma_8 ~ 0.5-0.6) Gaussian models are ruled out by these data (< 10^{-6} probability); the Omega=1 models predict only ~10^{-5} massive clusters at z > 0.65 (~10^{-3} at z > 0.5) instead of the 1 (3) clusters observed.
representative citing papers
Weak-lensing calibration of 19 Planck SZ clusters with HSC Year 3 yields 1-b = 0.73^{+0.10}_{-0.11} at z_eff ~0.24 after forward-modeling selection, Eddington bias, and miscentering.
citing papers explorer
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Measurements of Omega and Lambda from 42 High-Redshift Supernovae
42 high-redshift Type Ia supernovae yield Omega_M = 0.28 for a flat universe and show the cosmological constant is positive at 99% confidence.
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Weak-lensing mass calibration of \emph{Planck} Sunyaev--Zel'dovich clusters with HSC-SSP Year~3
Weak-lensing calibration of 19 Planck SZ clusters with HSC Year 3 yields 1-b = 0.73^{+0.10}_{-0.11} at z_eff ~0.24 after forward-modeling selection, Eddington bias, and miscentering.