Spherical and cylindrical solutions in f (T) gravity by Noether Symmetry Approach

Understand

We find exact solutions for f (T) teleparallel gravity for the cases of spherically and cylindrically symmetric tetrads.

• The adopted method is based on the search for Noether symmetries of point-like Lagrangians defined in Jordan and Einstein frames.
• Constants of motion are used to reduce the dynamical system.We first consider the Lagrangian defined in the Jordan frame for a spherically symmetric tetrad and, by the help of two constants of motion, we eliminate a tetrad potential and integrate the other.
• The more complicated structure in the Einstein frame is also overcome by the same method.