Local Lorentz transformation and exact spherically symmetric vacuum solutions in f(T) gravity theories

Understand

Applying a non-diagonal spherically symmetric tetrad field having arbitrary function, $S(r)$, that is corresponding to local Lorentz transformation, to the field equations of f(T) gravity theories.

• An analytic vacuum solutions with constants of integration are derived.
• These constants are studied by calculating the total conserved charge associated to each solution.
• The study has shown that the obtained solutions represent Schwarzschild-Ads spacetime.