  The analysis of the validity of Birkhoff's theorem about the uniqueness of
the spherically symmetric solution of the gravitational field equations is
extended to the framework of the Poincar\'e gauge gravity theory. The class of
models with the most general Lagrangians of the Yang-Mills type constructed
from all possible quadratic invariants of the curvature and the torsion is
considered, including both parity-even and parity-odd sectors. We find the
models in which the weak and strong versions of the generalized Birkhoff
theorem are valid, by making use of the double duality technique.
