  The aim of this work is to describe the complete family of non-expanding
Plebanski-Demianski type D space-times and to present their possible
interpretation. We explicitly express the most general form of such
(electro)vacuum solutions with any cosmological constant, and we investigate
the geometrical and physical meaning of the seven parameters they contain. We
present various metric forms, and by analyzing the corresponding coordinates in
the weak-field limit we elucidate the global structure of these space-times,
such as the character of possible singularities. We also demonstrate that
members of this family can be understood as generalizations of classic
B-metrics. In particular, the BI-metric represents an external gravitational
field of a tachyonic (superluminal) source, complementary to the AI-metric
which is the well-known Schwarzschild solution for exact gravitational field of
a static (standing) source.
