2004/03/22 by Wlodzimierz Godlowski, W odzimierz God owski, Jerzy Stelmach +2 · 1 citation
Physics and Astronomy · #Cosmology and Gravitation Theories #Gamma-ray bursts and supernovae #Solar and Space Plasma Dynamics #astro-ph #gr-qc
paper · pdf · doi:10.1088/0264-9381/21/16/009
published as Class.Quant.Grav. 21 (2004) 3953-3972 · 25 pages, 12 figures
arxiv created 2004/03/22 · openalex publication_date 2004/08/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/30
A class of Stephani cosmological models as a prototype of a non-homogeneous universe is considered. The non-homogeneity can lead to accelerated evolution, which is now observed from the SNe Ia data. Three samples of type Ia supernovae obtained by Perlmutter et al , Tonry et al and Knop et al are taken into account. Different statistical methods (best fits as well as maximum likelihood method) to obtain estimation for the model parameters are used. The Stephani model is considered as an alternative to the ΛCDM model in the explanation of the present acceleration of the universe. The model explains the acceleration of the universe at the same level of accuracy as the ΛCDM model (χ 2 statistics are comparable). From the best fit analysis it follows that the Stephani model is characterized by a higher value of density parameter Ω m 0 than the ΛCDM model. It is also shown that the model is consistent with the location of CMB peaks.