Recently the teleparallel Lagrangian density described by the torsion scalar T has been extended to a function of T.
The $f(T)$ modified teleparallel gravity has been proposed as the natural gravitational alternative for dark energy to explain the late time acceleration of the universe.
In order to reconstruct the function $f(T)$ by demanding a background $\Lambda$CDM cosmology we assume that, (i) the background cosmic history provided by the flat $\Lambda$CDM (the radiation ere with $\omega_{eff}=1/3$, matter and de Sitter eras with $\omega_{eff}=0$ and $\omega_{eff}=-1$, respectively) (ii) the radiation dominate in the radiation era with $\Omega_{0r}=1$ and the matter dominate during the matter phases when $\Omega_{0m}=1$.
We find the cosmological dynamical system which can obey the $\Lambda$CDM cosmic history.
Can $f(T)$ gravity theories mimic $\Lambda$CDM cosmic history · Around
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