摘要Selection statics of the Akaike information criterion (AIC) model and the Bayesian information criterion (BIC) model are applied to the Λ-cold dark matter (ΛCDM) cosmological model, the constant equation of state of dark energy, w=constant, and the parametrized equation of state of dark energy, w(z)=w_0+w_1 z/(1+z), to determine which one is the better cosmological model to describe the evolution of the universe by combining the recent cosmic observational data including Sne Ia, the size of baryonic acoustic oscillation (BAO) peak from SDSS, the three-year WMAP CMB shift parameter. The results show that AIC, BIC and current datasets are not powerful enough to discriminate one model from the others, though odds suggest differences between them.
Abstract:Selection statics of the Akaike information criterion (AIC) model and the Bayesian information criterion (BIC) model are applied to the Λ-cold dark matter (ΛCDM) cosmological model, the constant equation of state of dark energy, w=constant, and the parametrized equation of state of dark energy, w(z)=w_0+w_1 z/(1+z), to determine which one is the better cosmological model to describe the evolution of the universe by combining the recent cosmic observational data including Sne Ia, the size of baryonic acoustic oscillation (BAO) peak from SDSS, the three-year WMAP CMB shift parameter. The results show that AIC, BIC and current datasets are not powerful enough to discriminate one model from the others, though odds suggest differences between them.
[1] Riess A G et al 1998 Astron. J. 116 1009 [2] Perlmutter S et al 1999 Astrophys. J. 517 565 [3] Padmanabhan T 2003 Phys. Rep. 380 235 Peebles P J E and Ratra B 2003 Rev. Mod. Phys. 75 559 [4] Zlatev I, Wang L and Steinhardt P J 1999 Phys. Rev. Lett. 82 896 Steinhardt P J, Wang L and Zlatev I 1999 it Phys. Rev. D 59 123504 [5] Caldwell R R 2003 Phys. Rev. Lett. 91 071301 [6] Feng B, Wang L M and Zhang X M 2005 Phys. Lett. B 607 1 [7] Chevallier M and Polarski D 2001 Int. J. Mod. Phys. D 10 213 Linder E V 2003 Phys. Rev. Lett. 90 091301 [8] Chiba T, Sugiyama N and Nakamura T 1998 Mon. Not. Roy.Astron. Soc. London 301 72 [9] Liddle A R 2004 Mon. Not. Roy. Astron. Soc. London 351 L49 [10] Godlowski W and Szydlowski M 2005 Phys. Lett. B 623 10 Szydlowski M and Godlowski W 2006 Phys. Lett. B 633 427 [11] Biesiada M 2007 J. Cosmol. Astron. Phys. 0702 003 [12] Szydlowski M, Kurek A and Krawiec A 2006 Phys. Lett. B 642 171 Szydlowski M and Kurek A Preprint astro-ph/0603538 [13] Trotta R Preprint astro-ph/0504022 Mukherjee P,Parkinson D, Corasaniti P SLiddle A R and Kunz M 2006 Mon. Not. Roy. Astron. Soc. London 369 1725 Parkinson D, Mukherjee P and Liddle A R 2006 Phys. Rev. D 73 123523 Liddle A R, Mukherjee P and Parkinson D 2006 Preprintastro-ph/0608184 Serra P, Heavens A F and Melchiorri A Preprint astro-ph/0701338Trotta R 2007 Preprint astro-ph/0703063 Heavens A F, Kitching T D and Verde L 2007 Preprintastro-ph/0703191 [14] Riess A G et al 2006 Preprint astro-ph/0611572 [15] Astier P et al 2006 Astron. Astrophys. 447 31 [16] Eisenstein D J et al 2005 Astrophys. J. 633 560 [17] Bond J R, Efstathiou G and Tegmark M 1997 Mon. Not. Roy.Astron. Soc. London 291 L33 [18] Spergel D N et al 2006 Preprint astro-ph/0603449 [19] Wang Y and Mukherjee P 2006 Preprint astro-ph/0604051