• DOI:10.1142/S0218271805006729
• Corpus ID: 14184379

Bayesian Statistics and Parameter Constraints on the Generalized Chaplygin Gas Model Using SNe ia Data

@article{Colistete2005BayesianSA,
  title={Bayesian Statistics and Parameter Constraints on the Generalized Chaplygin Gas Model Using SNe ia Data},
  author={Roberto Colistete and J'ulio C'esar Fabris and S. V. B. Gonçalves},
  journal={International Journal of Modern Physics D},
  year={2005},
  volume={14},
  pages={775-796}
}

• R. Colistete, J. Fabris, S. Gonçalves
• Published 10 September 2004
• Physics
• International Journal of Modern Physics D

The type Ia supernovae (SNeIa) observational data are used to estimate the parameters of a cosmological model with cold dark matter and the generalized Chaplygin gas model (GCGM). The GCGM depends essentially on five parameters: the Hubble constant, the parameter $\bar A$ related to the velocity of the sound, the equation of state parameter α, the curvature of the Universe and the fraction density of the generalized Chaplygin gas (or the cold dark matter). The parameter α is allowed to take negative values and to be greater than one. The Bayesian parameter estimation yields $\alpha = - 0.86^{+6.01}_{-0.15}$, $H_0 = 62.0^{+1.32}_{-1.42} \ {\rm km/Mpc.s}$, $\Omega_{k0} = -0.74_{-1.32}^{+1.42}$, $\Omega_{m0} = 0.00^{+0.86}_{-0.00}$, $\Omega_{c0} = 1.39^{+1.21}_{-1.25}$, $\bar A =1.00^{+0.00}_{-0.39}$, $t_0 = 15.3^{+4.2}_{-3.2}$ and $q_0 = -0.80^{+0.86}_{-0.62}$, where t0 is the age of the Universe and q0 is the value of the deceleration parameter today. Our results indicate that a Universe completely dominat...