Constraints on Cardassian universe from Gamma ray bursts

Abstract

Constraints on the original Cardassian model and the modified polytropic Cardassian model are examined from the recently derived 42 gamma-ray bursts (GRBs) data calibrated with the method avoiding the circularity problem. The results show that GRBs can be an optional observation to constrain on the Cardassian models. Combining the GRBs data with the newly derived size of baryonic acoustic oscillation peak from the Sloan Digital Sky Survey (SDSS), and the position of first acoustic peak of the Cosmic Microwave Background radiation (CMB) from Wilkinson Microwave Anisotropy Probe (WMAP), we find ${\Omega }_{m0}=0.27_{-0.02}^{+0.02},n=0.06_{-0.08}^{+0.07}$ ($1\sigma$) for the original Cardassian model, and ${\Omega }_{m0}=0.27_{-0.02}^{+0.03}$, $n=-0.09_{-1.91}^{+0.23},\beta =0.82_{-0.62}^{+2.10}$ ($1\sigma$) for the modified polytropic Cardassian model.

11 pages, 4 figures, accepted for publication in Science in China G

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• Testing the Consistence of Gamma Ray Burst Data-set and Supernovae Union2
• Latest Cosmological Constraints on Cardassian expansion models including the updated Gamma-ray bursts
• Testing the Distance Duality Relation with Cosmological Observations at high Redshift using Artificial Neural Network