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    A COMPARATIVE ANALYSIS OF THE SUPERNOVA LEGACY SURVEY SAMPLE WITH ΛCDM AND THE R h = ct UNIVERSE

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    Author
    Wei, Jun-Jie cc
    Wu, Xue-Feng cc
    Melia, Fulvio cc
    Maier, Robert S.
    Affiliation
    The University of Arizona
    Issue Date
    2015-02-17
    
    Metadata
    Show full item record
    Publisher
    IOP PUBLISHING LTD
    Citation
    A COMPARATIVE ANALYSIS OF THE SUPERNOVA LEGACY SURVEY SAMPLE WITH ΛCDM AND THE R h = ct UNIVERSE 2015, 149 (3):102 The Astronomical Journal
    Journal
    The Astronomical Journal
    Rights
    © 2015. The American Astronomical Society. All rights reserved.
    Collection Information
    This item from the UA Faculty Publications collection is made available by the University of Arizona with support from the University of Arizona Libraries. If you have questions, please contact us at repository@u.library.arizona.edu.
    Abstract
    The use of Type~Ia SNe has thus far produced the most reliable measurement of the expansion history of the Universe, suggesting that $\Lambda$CDM offers the best explanation for the redshift--luminosity distribution observed in these events. But the analysis of other kinds of source, such as cosmic chronometers, gamma ray bursts, and high-$z$ quasars, conflicts with this conclusion, indicating instead that the constant expansion rate implied by the $R_{\rm h}=ct$ Universe is a better fit to the data. The central difficulty with the use of Type~Ia SNe as standard candles is that one must optimize three or four nuisance parameters characterizing supernova luminosities simultaneously with the parameters of an expansion model. Hence in comparing competing models, one must reduce the data independently for each. We carry~out such a comparison of $\Lambda$CDM and the $R_{\rm h}=ct$ Universe, using the Supernova Legacy Survey (SNLS) sample of 252 SN~events, and show that each model fits its individually reduced data very well. But since $R_{\rm h}=ct$ has only one free parameter (the Hubble constant), it follows from a standard model selection technique that it is to be preferred over $\Lambda$CDM, the minimalist version of which has three (the Hubble constant, the scaled matter density and either the spatial curvature constant or the dark-energy equation-of-state parameter). We estimate by the Bayes Information Criterion that in a pairwise comparison, the likelihood of $R_{\rm h}=ct$ is $\sim 90\%$, compared with only $\sim 10\%$ for a minimalist form of $\Lambda$CDM, in which dark energy is simply a cosmological constant. Compared to $R_{\rm h}=ct$, versions of the standard model with more elaborate parametrizations of dark energy are judged to be even less likely.
    ISSN
    1538-3881
    DOI
    10.1088/0004-6256/149/3/102
    Version
    Final published version
    Additional Links
    http://stacks.iop.org/1538-3881/149/i=3/a=102?key=crossref.e189d619d5fea51b250d043a7139d40b
    ae974a485f413a2113503eed53cd6c53
    10.1088/0004-6256/149/3/102
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    UA Faculty Publications

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