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Cosmological constraints on the DGP braneworld model with gamma-ray bursts

We investigate observational constraints on the Dvali, Gabadadze and Porrati (DGP) model with Gamma-ray bursts (GRBs) at high redshift obtained directly from the Union2 Type Ia supernovae data set. With cosmology-independent GRBs, the Union2 set, as well as the cosmic microwave background observation from the WMAP7 result, the baryon acoustic oscillation, the baryon mass fraction in clusters and the observed H (z) data, we obtain that the best-fit values of the DGP model are {ΩM0, Ωrc} = {0.235+0.015−0.014, 0.138+0.051−0.048}, which favor a flat universe, and the transition redshift of the DGP model is zT = 0.67+0.03−0.04. These results lead to more stringent constraints than the previous results for the DGP model.