  We prove that all spherically symmetric static spacetimes which are both
regular at r=0 and satisfying the single energy condition rho + p_r + p_t >= 0
cannot contain any black hole region (equivalently, they must satisfy 2m/r <= 1
everywhere). This result holds even when the spacetime is allowed to contain a
finite number of matching hypersurfaces. This theorem generalizes a result by
Baumgarte and Rendall when the matter contents of the space-time is a perfect
fluid and also complements their results in the general non-isotropic case.
