Towards realistic $f(T)$ models with nonminimal torsion-matter coupling extension

Understand

Using the observation data of SNeIa, CMB and BAO, we establish two concrete $f(T)$ models with nonminimal torsion-matter coupling extension.

• We study in detail the cosmological implication of our models and find they are successful in describing the observation of the Universe, its large scale structure and evolution.
• In other words, these models do not change the successful aspects of $\Lambda$CDM scenario under the error band of fitting values as describing the evolution history of the Universe including radiation-dominated era, matter-dominated era and the present accelerating expansion.
• Meanwhile, the significant advantage of these models is that they could avoid the cosmological constant problem of $\Lambda$CDM.