TY - JOUR A2 - Wegner, Gary AU - Wei, Jun-Jie AU - Ma, Qing-Bo AU - Wu, Xue-Feng PY - 2015 DA - 2015/08/24 TI - Utilizing the Updated Gamma-Ray Bursts and Type Ia Supernovae to Constrain the Cardassian Expansion Model and Dark Energy SP - 576093 VL - 2015 AB - We update gamma-ray burst (GRB) luminosity relations among certain spectral and light-curve features with 139 GRBs. The distance modulus of 82 GRBs at z>1.4 can be calibrated with the sample at z1.4 by using the cubic spline interpolation method from the Union2.1 Type Ia supernovae (SNe Ia) set. We investigate the joint constraints on the Cardassian expansion model and dark energy with 580 Union2.1 SNe Ia sample (z<1.4) and 82 calibrated GRBs’ data (1.4<z8.2). In ΛCDM, we find that adding 82 high-z GRBs to 580 SNe Ia significantly improves the constraint on Ωm-ΩΛ plane. In the Cardassian expansion model, the best fit is Ωm=0.24-0.15+0.15 and n=0.16-0.52+0.30  (1σ), which is consistent with the ΛCDM cosmology (n=0) in the 1σ confidence region. We also discuss two dark energy models in which the equation of state w(z) is parameterized as w(z)=w0 and w(z)=w0+w1z/(1+z), respectively. Based on our analysis, we see that our universe at higher redshift up to z=8.2 is consistent with the concordance model within 1σ confidence level. SN - 1687-7969 UR - https://doi.org/10.1155/2015/576093 DO - 10.1155/2015/576093 JF - Advances in Astronomy PB - Hindawi Publishing Corporation KW - ER -