Phenomenological Reconstruction of $f(T)$ Teleparallel Gravity

Understand

We present a novel reconstruction method of $f(T)$ teleparallel gravity from phenomenological parameterizations of the deceleration parameter or other alternatives.

• This can be used as a toolkit to produce viable modified gravity scenarios directly related to cosmological observations.
• We test two parameterizations of the deceleration parameter considered in recent literatures in addition to one parametrization of the effective (total) equation of state (EoS) of the universe.
• We use the asymptotic behaviour of the matter density parameter as an extra constraint to identify the viable range of the model parameters.