Damghan University Press Iranian Journal of Astronomy and Astrophysics 2322-4924 4 1 2017 04 01 Noether Symmetry in f(T) Theory at the anisotropic universe عنوان 1 8 84 10.22128/ijaa.2017.84 EN A. Aghamohammadi Sanandaj Branch, Islamic Azad University, Sanandaj, Iran; 0000-0002-0229-8651 Journal Article 2017 10 14 As it is well known, symmetry plays a crucial role in the theoretical physics. On other hand, the Noether symmetry is a useful procedure to select models motivated at a fundamental level, and to discover the exact solution to the given lagrangian. In this work, Noether symmetry in f(T) theory on a spatially homogeneous and anisotropic Bianchi type I universe is considered. We discuss the Lagrangian formalism of f(T ) theory in anisotropic universe. The point-like Lagrangian is clearly constructed.The explicit form of f(T) theory and the corresponding exact solution are found by requirement of Noether symmetry and Noether charge. A power-law f(T), the same as the FRW universe, can satisfy the required Noether symmetry in the anisotropic universe with power- law scale factor. It is regarded that positive expansion is satisfied by a constrain between parameters. https://ijaa.du.ac.ir/article_84_3d11a75bdbcbb1c17f437303622835b1.pdf