  We discuss certain general features of type B warped spacetimes which have
important consequences on the material content they may admit and its
associated dynamics. We show that, for Warped B spacetimes, if shear and
anisotropy are nonvanishing, they have to be proportional. We also study some
of the physics related to the warping factor and of the underlying decomposable
metric. Finally we explore the only possible cases compatible with a type B
Warped geometry which satisfy the dominant energy conditions. As an example of
the above mentioned consequences we consider a radiating fluid and two
non-spherically symmetric metrics which depend upon an arbitrary parameter,
such that if the parameter vanishes the spherical symmetry is recovered.
