Noether gauge symmetry for the Bianchi type I model in f(T) gravity

Understand

In this paper, we present the Noether symmetries of a class of the Bianchi type I anisotropic model in the context of f(T) gravity.

• By solving the system of equations obtained from the Noether symmetry condition, we obtain the form of f(T) as a teleparallel form.
• This analysis shows that teleparallel gravity has the maximum number of Noether symmetries.
• We derive the symmetry generators and show that there are five kinds of symmetries, including time and scale invariance under metric coefficients.