Top ten accelerating cosmological models

Abstract

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. The Bayesian information criteria of model selection (the AIC and BIC) 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 Bayes factor and Akaike information criterion.

RevTeX4, 11 pages, 7 figures; v2 some clarifications, bibliography additions, new figure (comparisons with respect to LambdaCDM)

References in corpus (2)

• Measuring the effective complexity of cosmological models
• Accelerated Cosmological Models in Modified Gravity tested by distant Supernovae SNIa data

Cited by in corpus (26)

• New Hubble Space Telescope Discoveries of Type Ia Supernovae at z > 1: Narrowing Constraints on the Early Behavior of Dark Energy
• The Hubble Diagram to Redshift >6 from 69 Gamma-Ray Bursts
• Cosmic dynamics in the era of Extremely Large Telescopes
• Interacting Holographic Phantom
• Holographic tachyon model of dark energy
• The Cosmological Dynamics of Interacting Holographic Dark Energy Model
• Present and future evidence for evolving dark energy
• Thermodynamical Interpretation of the Interacting Holographic Dark Energy Model in a non-flat Universe
• Quintessence reconstructed: new constraints and tracker viability
• Noether symmetry for non-minimally coupled fermion fields
• Cosmological model with non-minimally coupled fermionic field
• How to Distinguish Dark Energy and Modified Gravity?
• Voids of dark energy
• Dissipative or Conservative cosmology with dark energy ?
• The LambdaCDM model on the lead -- a Bayesian cosmological models comparison
• Dark-Energy Dynamics Required to Solve the Cosmic Coincidence
• Constraints on oscillating dark energy models
• Route to Lambda in conformally coupled phantom cosmology
• Theoretic Limits on the Equation of State Parameter of Quintessence
• Bouncing Universe with Non-minimally Coupled Quintom Matter
• Limitations of Bayesian Evidence Applied to Cosmology
• Testing and selection of cosmological models with $(1+z{)}^6$ corrections
• Acceleration of the Universe driven by the Casimir force
• Paths of Friedmann-Robertson-Walker brane models
• Constraining bouncing cosmology caused by Casimir effect
• How to Measure the Cosmic Curvature