Noether symmetry in a nonlocal f(T) Gravity

Understand

It is well known that the Noether symmetry approach proves to be very useful not only to fix physically viable cosmological models but also to reduce dynamics and achieve exact solutions.

• In this work, We examine a formal framework of nonlocal $f(T)$ theory of gravity through the Noether symmetry approach.
• The Noether equations of the nonlocal $f(T)$ theory are obtained for flat FLRW universe.
• We analyse the dynamics of the field in a nonlocal $f(T)$ gravity admitted by the Noether symmetry.