Abstract
The cosmic expansion history is investigated from the distance indicator and secular redshift drift. Three types of classical kinematics deceleration parameters and jerk parameters are investigated using the redshift drift. They are also compared with the results from current and future type Ia supernova measurements. For the linear and nonlinear models, all these observations favor a recent accelerating expansion, and previous deceleration. In order to determine which kind of data can provide us a model-independent estimation on the cosmic expansion history, we give a method and find that the redshift drift is more stable to explore the expansion history than distance indicator. From the constraints on deceleration factor today q0, we find that the future redshift drift also has the potential to test the slowing down of cosmic acceleration. For the piecewise model, we find that the redshift drift is more effective to express recent accelerating and previous decelerating expansion in the average sense.
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