Paper: astro-ph/0604327
Date: Fri, 14 Apr 2006 13:55:53 GMT (55kb)

Title: Top ten accelerating cosmological models

Authors: Marek Szydlowski, Aleksandra Kurek, Adam Krawiec

Comments: RevTeX4, 12 pages, 6 figures
\\
Recent astronomical observations indicate that the Universe is presently
almost flat and undergoing a period of accelerated expansion. Basing on
Einstein's general relativity all these observations can be explained by the
hypothesis of a dark energy component in addition to cold dark matter (CDM).
Because the nature of this dark energy is unknown, it was proposed some
alternative scenario to explain the current accelerating Universe. The key
point of this scenario is to modify the standard FRW equation instead of
mysterious dark energy component. The standard approach to constrain model
parameters based on the likelihood method gives a best-fit model and confidence
ranges for those parameters, we always arbitrary choose the set of parameters
which define a model which we compare with observational data. Because in the
generic case, the introducing of new parameters improves a fit to the data set,
there appears the problem of elimination of model parameters which can play an
insufficient role in improving the fit to the data available. The Bayesian
information criteria of model selection (the AIC, BIC and Bayes factor) are
dedicated to promotion a set of parameters which should be incorporated to the
model. We divide class of all accelerating cosmological models into two groups
according to the two types of explanation acceleration of the Universe. Then
the Bayesian framework of model selection is used to determine the set of
parameters which gives preferred fit to the SNIa data. We find a few of flat
cosmological models which can be recommend by both the Bayesian factor and
distant supernovae data.

\\ ( http://arXiv.org/abs/astro-ph/0604327 , 55kb)