Conformal Cosmological Model Parameters with Distant SNe Ia Data: "gold" and "silver"

TL;DR

This study compares conformal and standard cosmological models using distant supernovae Ia data, finding that conformal models can fit the data nearly as well as standard models with dark energy components.

Contribution

It introduces a method to determine conformal cosmological parameters using supernovae Ia data, highlighting the potential of rigid matter components as alternatives to dark energy.

Findings

Conformal cosmological model fits supernova data nearly as well as standard model.

Rigid matter can substitute for the cosmological constant in conformal models.

Analysis of recent 'gold' data supports the viability of conformal cosmology.

Abstract

Assuming that supernovae type Ia (SNe Ia) are standard candles one could use them to test cosmological theories. The Hubble Space Telescope team analyzed 186 SNe Ia\cite{Riess_04} 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 Conformal Cosmological model (CC) with relative reference units of intervals, so that conformal quantities of General Relativity are interpreted as observables. We concluded, that really the test is extremely useful and allows to evaluate 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 SC model with $\Omega_\Lambda=0.72, \Omega_m=0.28$. As it was noted earlier, for CC models, a rigid matter component could substitute the $\Lambda$-term (or quintessence) existing in the SC model. We note that a free massless scalar field can generate such a rigid matter. We describe results of our analysis for more recent "gold" data (for 192 SNe Ia).