CHASING LAMBDA Aleksandra Kurek *, Marek Szyd owski * * - - PowerPoint PPT Presentation
CHASING LAMBDA Aleksandra Kurek *, Marek Szyd owski * * Astronomical Observatory, Jagiellonian University, Poland Complex System Research Centre, Jagiellonian University, Poland MODELS WITH DARK ENERGY (Weinberg 1989) (Caldwell 2002)
Aleksandra Kurek *, Marek Szydowski * ° * Astronomical Observatory, Jagiellonian University, Poland °Complex System Research Centre, Jagiellonian University, Poland
in the log scale factor
(Weinberg 1989) (Caldwell 2002) (Chevallier & Polarski 2001) (Peebles & Ratra 1988) (Rahvar & Movahed 2007)
(Dvali et al. 2000) (Singh & Vandersloot 2005) (Szydlowski et al. 2006) ; (Freese & Lewis 2002) (Shtanov 2000)
vector of model parameters likelihood of the model prior probability for model parameters
approximation to -2 ln E
maximum likelihood number of model parameters number
assumptions 1.prior for model parameters 0 in the neighborhood
3.sample size large with respect to the number
1. iid
maximum likelihood 4.sample size large with respect to the number
2.
Schwarz 1978
Cavanough & Neath 1999
POSTERIOR ODDS BAYES FACTOR - B 2 ln B
12 12
evidence in favor model 1 <0,2) not worth than a bare mention <2,6) positive <6,10) strong >10 very strong
(Kass & Raftery 1995)
(Riess et al. 2007; Wood-Vasey et al. 2007; Davis et al. 2007) (Spergel et al. 2006; Wang & Mukherjee 2006)
SN R
L Lsn L R L A LH
A
(Eisenstein et al. 2005) (Simon et al. 2005)
H
N=192+1+1+9
(differential ages of the passively evolving galaxies)
0.84 0.02 0.06 0.04 0.04
0.07 0.03 0.13 0.74 0.03
0.74 0.02 0.05 0.04 0.03 0.01 0.005 0.01 0.09 0.005