Gamma-Ray Bursts and Other Observations: Constraints on Cosmographic Parameters and Dark Energy Models

We use the newly released Union2 SNe Ia dataset to constrain cosmographic parameters, namely the deceleration, jerk and snap parameters (q0, j0 and s0), then calibrate the five luminosity relations of Gamma-ray Bursts (GRBs) at redshift z ≤ 1.4. Assuming that the GRB luminosity relations do not evolve with the redshift, we obtain the distance moduli of 66 high-redshift GRBs. At last, we combine the observational datasets including the observations of the Cosmic Microwave Background (CMB), Baryon Acoustic Oscillation (BAO) and the 116 GRBs with known redshifts to constrain some widely-discussed dark energy models. We find that the ΛCDM model is the best according to the Bayesian Information Criterion (BIC), and the JBP model is the best according to the Akaike Information Criterion (AIC).