Exact solutions of Friedmann equation for supernovae data

Abstract

An intrinsic time of homogeneous models is global. The Friedmann equation by its sense ties time intervals. Exact solutions of the Friedmann equation in Standard cosmology and Conformal cosmology are presented. Theoretical curves interpolated the Hubble diagram on latest supernovae are expressed in analytical form. The class of functions in which the concordance model is described is Weierstrass meromorphic functions. The Standard cosmological model and Conformal one fit the modern Hubble diagram equivalently. However, the physical interpretation of the modern data from concepts of the Conformal cosmology is simpler, so is preferable.