Abstract
In this paper, we revisit the Cardassian model in which the radiation energy component is included. It is important for the early epoch when the radiation cannot be neglected because the equation of state (EoS) of the effective dark energy becomes time variable. Therefore, it is not equivalent to the quintessence model with a constant EoS anymore. This situation was almost overlooked in the literature. By using the recent released Union2 557 of type Ia supernovae (SN Ia), the baryon acoustic oscillation (BAO) from Sloan Digital Sky Survey and the WiggleZ data points, the full information of cosmic microwave background (CMB) measurement given by the seven-year Wilkinson Microwave Anisotropy Probe observation, we constrain the Cardassian model via the Markov Chain Monte Carlo (MCMC) method. A tight constraint is obtained: \(n= -0.0479_{- 0.0732- 0.148}^{+ 0.0730+0.142}\) in 1,2σ regions. The deviation of the Cardassian model from quintessence model is shown in CMB anisotropic power spectra at high l’s parts due to the evolution of EoS. But it is about the order of 0.1/% which cannot be discriminated by current data sets. The Cardassian model is consistent with current cosmic observational data sets.
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Notes
In the sense of small deviation from ΛCDM model.
References
A.G. Riess et al., Astron. J. 116, 1009 (1998). arXiv:astro-ph/9805201
S. Perlmutter et al., Astrophys. J. 517, 565 (1999). arXiv:astro-ph/9812133
S. Weinberg, Rev. Mod. Phys. 61, 1 (1989)
V. Sahni, A.A. Starobinsky, Int. J. Mod. Phys. D 9, 373 (2000). arXiv:astro-ph/9904398
S.M. Carroll, Living Rev. Relativ. 4, 1 (2001). arXiv:astro-ph/0004075
P.J.E. Peebles, B. Ratra, Rev. Mod. Phys. 75, 559 (2003). arXiv:astro-ph/0207347
T. Padmanabhan, Phys. Rep. 380, 235 (2003). arXiv:hep-th/0212290
E.J. Copeland, M. Sami, S. Tsujikawa, Int. J. Mod. Phys. D 15, 1753 (2006). arXiv:hep-th/0603057
M. Li, X.D. Li, S. Wang, Y. Wang, arXiv:1103.5870v3 [astro-ph.CO]
K. Freese, M. Lewis, Phys. Lett. B 540, 1 (2002)
D.J. Chung, K. Freese, Phys. Rev. D 61, 023511 (2000)
P. Gondolo, K. Freese, arXiv:hep-ph/0209322
P. Gondolo, K. Freese, arXiv:hep-ph/0211397
C.-J. Feng, X.-Z. Li, X.-Y. Shen, Phys. Rev. D 83, 123527 (2011)
C. Deffayet, O. Pujolas, I. Sawicki, A. Vikman, J. Cosmol. Astropart. Phys. 1010, 026 (2010)
Z. Li, P. Wu, H. Yu, Astrophys. J. 744, 176 (2012)
T.-S. Wang, P. Wu, J. Cosmol. Astropart. Phys. 0708, 020 (2007)
H.J.M. Cuesta, H.M. Dumet, C. Furlanetto, J. Cosmol. Astropart. Phys. 0807, 004 (2008)
J.S. Alcaniz, A. Dev, D. Jain, Astrophys. J. 627, 26 (2005)
S. Sen, A.A. Sen, Astrophys. J. 588, 1 (2003)
A.A. Sen, S. Sen, Phys. Rev. D 68, 023513 (2003)
T. Koivisto, H. Kurki-Suonio, F. Ravndal, Phys. Rev. D 71, 064027 (2005)
C.L. Reichardt, R. de Putter, O. Zahn, Z. Hou, arXiv:1110.5328
C.-P. Ma, E. Bertschinger, Astrophys. J. 455, 7 (1995)
J. Hwang, H. Noh, Phys. Rev. D 65, 023512 (2001)
A. Lewis, S. Bridle, Phys. Rev. D 66, 103511 (2002)
S. Burles, K.M. Nollett, M.S. Turner, Astrophys. J. 552, L1 (2001)
A.G. Riess et al., Astrophys. J. 699, 539 (2009)
R. Amanullah et al. (Supernova Cosmology Project Collaboration), Astrophys. J. 716, 712 (2010)
W.J. Percival et al., Mon. Not. R. Astron. Soc. 401, 2148 (2010)
L. Xu, Y. Wang, J. Cosmol. Astropart. Phys. 06, 002 (2010)
L. Xu, Y. Wang, Phys. Rev. D 82, 043503 (2010)
C. Blake et al., arXiv:1108.2635 [astro-ph.CO]
J. Hamann et al., J. Cosmol. Astropart. Phys. 07, 022 (2010). arXiv:1003.3999
D.J. Eisenstein, W. Hu, Astrophys. J. 496, 605 (1998). astro-ph/9709112
E. Komatsu et al., Astrophys. J. Suppl. Ser. 192, 18 (2011)
Acknowledgements
We thank an anonymous referee for helpful improvement of this paper. This work is supported by the Fundamental Research Funds for the Central Universities (DUT10LK31) and (DUT11LK39) and in part by NSFC under Grants No. 11275035.
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Xu, L. Revisiting Cardassian model and cosmic constraint. Eur. Phys. J. C 72, 2134 (2012). https://doi.org/10.1140/epjc/s10052-012-2134-7
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DOI: https://doi.org/10.1140/epjc/s10052-012-2134-7