Probing cosmic acceleration by strong gravitational lensing systems

Recently, some divergent conclusions about cosmic acceleration were obtained using Type Ia supernovae (SNe Ia), with opposite assumptions on the intrinsic luminosity evolution. In this paper, we use strong gravitational lensing systems to probe the cosmic acceleration. Since the theory of strong gravitational lensing is established certainly, and the Einstein radius is determined by stable cosmic geometry. We study two cosmological models, Lambda cold dark matter (Lambda CDM) and power-law models, through 152 strong gravitational lensing systems, incorporating with 30 Hubble parameters H(z) and 11 baryon acoustic oscillation (BAO) measurements. Bayesian evidence are introduced to make a one-on-one comparison between cosmological models. Based on Bayes factors In B of flat Lambda CDM versus power-law and R-h = ct models are In B > 5, we find that the flat Lambda CDM is strongly supported by the combination of the data sets. Namely, an accelerating cosmology with non-power-law expansion is preferred by our numeration.