Abstract
We assume that Type Ia supernovae (SNe Ia) are standard candles which one could use to test cosmological theories. The Hubble Space Telescope team analyzed 186 SNe Ia1 to test the standard cosmological model (SC) associated with expanded lengths in the universe and evaluate its parameters. We use the same sample to determine parameters of the conformal cosmological model (CC) with relative reference units of intervals, so that conformal quantities of general relativity are interpreted as observables. We concluded, that the test is extremely useful and allows the evaluation of the parameters of the model. From a formal statistical point of view the best-fit of the CC model is almost the same quality approximation as the best-fit of the SC model with ΩΛ = 0.72, Ωm = 0.28. As it was noted earlier, for CC models, a rigid matter component could substitute the Λ-term (or quintessence) existing in the SC model. We note that a free massless scalar field can generate such a rigid matter. We describe the results of our analysis for more recent "gold" data (for 192 SNe Ia).
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