Constraints on Dark Energy Models from Supernovae

Mathematics – Logic

Scientific paper

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Scientific paper

We analyze the observational constraints, resulting from Type Ia supernova (SNIa) observations. The so called Generalized Chaplygin Gas (GCG) with the equation of state p = - A/ρ^{α}}, ρ =(A+ B/a^{3(1+α)})^{1/1+α} was recently proposed as a candidate for dark energy in the Universe. Another alternative to the cosmological constant model is Cardassian model, where instead of cosmological constant some modification of Friedman-Robertson-Walker (FRW) equation is proposed. In this paper we compare the predictions of various models on the base of SNIa data. Extending our analysis by relaxing the flat prior leads to the result that even though the best fitted values of Ω_k are formally non-zero, still they are close to flat case. This should be viewed as an advantage of the GCG and Cardassian model since in similar analysis of Λ Cold Dark Matter (ΛCDM) model high negative values of Ω_{k,0} were found to be best fitted to the data and independent inspiration from CMBR and extragalactic astronomy has been invoked to fix the curvature problem.

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