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Using a new recently compiled milliarcsecond compact radio data set of 120 intermediate-luminosity quasars in the redshift range 0. 46< z <2. 76, whose statistical linear sizes show negligible dependence on redshifts and intrinsic luminosity and thus represent standard rulers in cosmology, we constrain three viable and most popular f (T) gravity models, where T is the torsion scalar in teleparallel gravity. Our analysis reveals that constraining power of the quasars data (N=120) is comparable to the Union2. 1 SN Ia data (N=580) for all three f (T) models. Together with other standard ruler probes such as cosmic microwave background and baryon acoustic oscillation distance measurements, the present value of the matter density parameter ₘ obtained by quasars is much larger than that derived from other observations. For one of the models considered (f₁ CDM) a small but noticeable deviation from CDM cosmology is present, while in the framework of f₃ CDM the effective equation of state may cross the phantom divide line at lower redshifts. These results indicate that intermediate-luminosity quasars could provide an effective observational probe comparable to SN Ia at much higher redshifts, and f (T) gravity is a reasonable candidate for the modified gravity theory.
Qi et al. (Fri,) studied this question.