Towards testing interacting cosmology by distant type Ia supernovae

Abstract

We investigate the possibility of testing cosmological models with interaction between matter and energy sector. We assume the standard FRW model while the so called energy conservation condition is interpreted locally in terms of energy transfer. We analyze two forms of dark energy sectors: the cosmological constant and phantom field. We find a simple exact solution of the models in which energy transfer is described by a Cardassian like term in the relation of $H^2(z)$, where $H$ is Hubble's function and $z$ is redshift. The considered models have two additional parameters $({\Omega }_{\text{int}},n)$ (apart the parameters of the $\Lambda$CDM model) which can be tested using SNIa data. In the estimation of the model parameters Riess et al.'s sample is used. We also confront the quality of statistical fits for both the $\Lambda$CDM model and the interacting models with the help of the Akaike and Bayesian informative criteria. Our conclusion from standard best fit method is that the interacting models explains the acceleration of the Universe better but they give rise to a universe with high matter density. However, using the tools of information criteria we find that the two new parameters play an insufficient role in improving the fit to SNIa data and the standard $\Lambda$CDM model is still preferred. We conclude that high precision detection of high redshift supernovae could supply data capable of justifying adoption of new parameters.

RevTeX4, 14 pages, 7 figures

References in corpus (20)

• Type Ia Supernova Discoveries at z>1 From the Hubble Space Telescope: Evidence for Past Deceleration and Constraints on Dark Energy Evolution
• Interacting Quintessence
• How many cosmological parameters?
• Cardassian Expansion: a Model in which the Universe is Flat, Matter Dominated, and Accelerating
• Dark Energy: Vacuum Fluctuations, the Effective Phantom Phase, and Holography
• The Cosmological Constant Problem and Quintessence
• Cosmology with Interaction between Phantom Dark Energy and Dark Matter and the Coincidence Problem
• Phantom cosmologies
• Stationary dark energy: the present universe as a global attractor
• Statefinder diagnostic for coupled quintessence
• Testing the Cosmic Coincidence Problem and the Nature of Dark Energy
• Statefinder parameters for interacting dark energy
• Scaling Cosmology
• Interacting Chaplygin gas
• Which cosmological model with dark energy -- phantom or LambdaCDM
• K-Chameleon and the Coincidence Problem
• Cosmological model with energy transfer
• CMB constraints on interacting cosmological models
• Quintessence From The Decay of a Superheavy Dark Matter
• Can the initial singularity be detected by cosmological tests?

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