  Two tetrad spaces reproducing spherically symmetric spacetime are applied to
the equations of motion of higher-order torsion theories. Assuming the
existence of conformal Killing vector, two isotropic solutions are derived. We
show that the first solution is not stable while the second one confirms a
stable behavior. We also discuss the construction of the stellar model and show
that one of our solution capable of such construction while the other cannot.
Finally, we discuss the generalized Tolman-Oppenheimer-Volkoff and show that
one of our models has a tendency to equilibrium.
