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 _ { m 0 } = 0.27 _ { -0.02 } ^ { +0.02 } ,n = 0.06 _ { -0.08 } ^ { +0.07 } ( 1 \sigma ) for the original Cardassian model , and \Omega _ { m 0 } = 0.27 ^ { +0.03 } _ { -0.02 } , n = -0.09 _ { -1.91 } ^ { +0.23 } , \beta = 0.82 _ { -0.62 } ^ { +2.10 } ( 1 \sigma ) for the modified polytropic Cardassian model .