2005/07/13 by Włodzimierz Godłowski, Wlodzimierz Godlowski Marek Szydlowski, Marek Szydłowski · 94 citations
Mathematics · Physics and Astronomy · #Akaike information criterion #Astrophysics #Bayesian information criterion #Black Holes and Theoretical Physics #Cosmology #Cosmology and Gravitation Theories #Dark energy #Degeneracy (biology) #Equation of state #Galaxies: Formation, Evolution, Phenomena #Imaging phantom #Mathematics #Model selection #Physics #Statistical physics #Statistics #Theoretical physics #astro-ph
paper · pdf · doi:10.1016/j.physletb.2005.07.044
published in Physics Letters B 623(1-2), 10-16 (Elsevier BV) · 8 pages 3 figures
arxiv created 2005/07/13 · openalex publication_date 2005/07/29 · arxiv updated 2009/12/01 · openalex created_date 2019/12/26 · openalex updated_date 2026/08/05
In cosmology many dramatically different scenarios in the past (big bang versus bounce) and in the future (de Sitter versus big rip) are compatible with the present day observations. This difficulties are called the degeneracy problem. We use the Akaike (AIC) and Bayesian (BIC) information criteria of model selection to avoid this degeneracy and to determine the model with such a set of parameters which gives the most preferred fit to the data. We consider seven representative scenarios, namely: the ΛCDM, CDM model with topological defect, phantom CDM model, bouncing ΛCDM model, bouncing phantom CDM model, brane ΛCDM model and model with the dynamical equation of state parameter linearized around the present epoch. Applying the information criteria to the currently available SNIa data we show that AIC indicates the flat phantom model while BIC indicates both flat phantom CDM and flat ΛCDM models. Finally we conclude that number of essential parameters chosen by dark energy models which are compared with SNIa data is two.