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The analysis of Type Ia supernova data over the past decade has been anotable success story in cosmology. These standard candles offer us anunparalleled opportunity of studying the cosmological expansion out to aredshift of ~1.5. The consensus today appears to be that LCDM offers the bestexplanation for the luminosity-distance relationship seen in these events.However, a significant incompatibility is now emerging between the standardmodel and other equally important observations, such as those of the cosmicmicrowave background. LCDM does not provide an accurate representation of thecosmological expansion at high redshifts (z>>2). It is therefore essential tore-analyze the Type Ia supernova data in light of the cosmology (the R_h=ctUniverse) that best represents the Universe's dynamical evolution at earlytimes. In this paper, we directly compare the distance-relationship in LCDMwith that predicted by R_h=ct, and each with the Union2.1 sample, and show thatthe two theories produce virtually indistinguishable profiles, though the fitwith R_h=ct has not yet been optimized. This is because the data cannot bedetermined independently of the assumed cosmology---the supernova luminositiesmust be evaluated by optimizing 4 parameters simultaneously with those in theadopted model. This renders the data compliant to the underlying theory, so them odel-dependent data reduction should not be ignored in any comparativeanalysis between competing cosmologies. In this paper, we use R_h=ct to fit thedata reduced with LCDM, and though quite promising, the match is not perfect.An even better fit would result with an optimization of the data using R_h=ctfrom the beginning.

Fitting the Union2.1 SN Sample with the R_h=ct Universe