Noether symmetry in f(T) teleparallel gravity

Noether symmetry in teleparallel f(T) gravity, where T is the torsion scalar, has been studied in the background of Robertson-Walker space-time. It is found that Noether symmetry admits f(T) alpha T-3/2 and the associated conserved current is Sigma = a<(a)over dot>T-1/2, in matter dominated era. In the process, the recent claim by Wei et al. [1] that Noether symmetry admits f(T) alpha T-n, (where n is an arbitrary constant) is found not to be correct, since the conserved current satisfies the field equations only for a special choice of n = 3/2. Further, correspondence between f(R) and f(T) theories of gravity has also been established. (C) 2017 The Author. Published by Elsevier B.V.