Constraints on cosmologies from strong gravitational lensing systems

Abstract: gravity is thought to be an alternative to dark energy which can explain the acceleration of the universe. It has been tested by different observations including type Ia supernovae (SNIa), the cosmic microwave background (CMB), the baryon acoustic oscillations (BAO) and so on. In this Letter, we use the Hubble constant independent ratio between two angular diameter distances to constrain model in Palatini approach . These data are from various large systematic lensing surveys and lensing by galaxy clusters combined with X-ray observations. We also combine the lensing data with CMB and BAO, which gives a stringent constraint. The best-fit results are or using lensing data only. When combined with CMB and BAO, the best-fit results are or . If we further fix (corresponding to ΛCDM), the best-fit value for α is for the lensing analysis and for the combined data, respectively. Our results show that ΛCDM model is within 1σ range. [Copyright &y& Elsevier]