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Measurements of Ω and Λ from 42 High-Redshift Supernovae

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S. Perlmutter1,12, G. Aldering1, G. Goldhaber1,12, R. A. Knop1, P. Nugent1, P. G. Castro1,13, S. Deustua1, S. Fabbro1,14, A. Goobar1,15, D. E. Groom1, I. M. Hook1,16, A. G. Kim1,12,17, M. Y. Kim1, J. C. Lee1,18, N. J. Nunes1,13, R. Pain1,14, C. R. Pennypacker1,19, R. Quimby1, C. Lidman2, R. S. Ellis3, M. Irwin3, R. G. McMahon3, P. Ruiz-Lapuente4, N. Walton5, B. Schaefer6, B. J. Boyle7, A. V. Filippenko8, T. Matheson8, A. S. Fruchter9, N. Panagia9,20, H. J. M. Newberg10, W. J. Couch11, and The Supernova Cosmology Project

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We report measurements of the mass density, ΩM, and cosmological-constant energy density, ΩΛ, of the universe based on the analysis of 42 type Ia supernovae discovered by the Supernova Cosmology Project. The magnitude-redshift data for these supernovae, at redshifts between 0.18 and 0.83, are fitted jointly with a set of supernovae from the Calán/Tololo Supernova Survey, at redshifts below 0.1, to yield values for the cosmological parameters. All supernova peak magnitudes are standardized using a SN Ia light-curve width-luminosity relation. The measurement yields a joint probability distribution of the cosmological parameters that is approximated by the relation 0.8ΩM-0.6ΩΛ≈-0.2±0.1 in the region of interest (ΩMlesssim1.5). For a flat (ΩMΛ=1) cosmology we find ΩMflat=0.28+0.09-0.08 (1 σ statistical) +0.05-0.04 (identified systematics). The data are strongly inconsistent with a Λ=0 flat cosmology, the simplest inflationary universe model. An open, Λ=0 cosmology also does not fit the data well: the data indicate that the cosmological constant is nonzero and positive, with a confidence of P(Λ>0)=99%, including the identified systematic uncertainties. The best-fit age of the universe relative to the Hubble time is t0flat=14.9+1.4-1.1(0.63/h) Gyr for a flat cosmology. The size of our sample allows us to perform a variety of statistical tests to check for possible systematic errors and biases. We find no significant differences in either the host reddening distribution or Malmquist bias between the low-redshift Calán/Tololo sample and our high-redshift sample. Excluding those few supernovae that are outliers in color excess or fit residual does not significantly change the results. The conclusions are also robust whether or not a width-luminosity relation is used to standardize the supernova peak magnitudes. We discuss and constrain, where possible, hypothetical alternatives to a cosmological constant.


Subject headings

cosmology: observations; distance scale; supernovae: general


Dates

Issue 2 (1999 June 1)

Received 1998 September 8, accepted for publication 1998 December 17



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