Noether symmetries of Bianchi type II universe in modified teleparallel f(T) gravity

The aim of this paper is to explore Noether symmetries of Bianchi type II universe in the modified teleparallel [Formula: see text] gravity, where [Formula: see text] is a function of the torsion scalar [Formula: see text]. In a physical context, the selection of Noether symmetries provides constraints that are helpful in building conservation laws. Some of the well-known examples of such laws are the conservation of energy and momentum. In this study, initially, we explore certain classes of Bianchi type II universe considering linear as well as nonlinear [Formula: see text] gravity models. In view of such models, equations of motion of the [Formula: see text] gravity have been solved in twelve cases. In each of the cases, we apply the definition of Noether symmetry which tends to a set of nineteen equations. Upon solving these equations, we reach the fact that the Bianchi type II universe in the background of [Formula: see text] gravity admits only four Noether vector fields (NVFs). As a result, the physical entities which we observe are the conservation of linear and generalized momentum.