Cosmological Models and Gamma-Ray Bursts Calibrated by Using Pade Method

摘要

Gamma-ray bursts (GRBs) are among the most powerful sources in the universe.In the recent years, GRBs have been proposed as a complementary probe to typeIa supernovae (SNIa). However, as is well known, there is a circularity problemin the use of GRBs to study cosmology. In this work, based on the Pad\'eapproximant, we propose a new cosmology-independent method to calibrate GRBs.We consider a sample consisting of 138 long Swift GRBs and obtain 79 calibratedlong GRBs at high-redshift $z>1.4$ (named Mayflower sample) which can be usedto constrain cosmological models without the circularity problem. Then, weconsider the constraints on several cosmological models with these 79calibrated GRBs and other observational data. We show that GRBs are competentto be a complementary probe to the other well-established cosmologicalobservations.