Many observations were used to understand the cosmic accelerating expansion. The redshift drift proposed by Sandage [1] and Loeb [2] is a new future probe with great potential in precision cosmology.  We theoretically explored the redshift drift from current observational data and physical laws. We found that the redshift drift at low redshift with different peak values have the potential to test cosmological models. We also studied its observational significance, based on the ability of European Extremely Large Telescope. the results show that the future redshift drift is more steady and objective to explore cosmic expansion history than the distance indicator. We also give the outlook on future redshift drift study.

References:

[1]  A. Sandage, ApJ 136, 319 (1962)

[2]  A. Loeb, ApJ 499, L111 (1998)