  In this paper, we present a type D, non-vanishing cosmological constant,
vacuum solution of the Einstein's field equations, extension of an axially
symmetric, asymptotically flat vacuum metric with a curvature singularity. The
space-time admits closed time-like curves (CTCs) that appear after a certain
instant of time from an initial spacelike hypersurface, indicating it
represents a time-machine space-time. We wish to discuss the physical
properties and show that this solution can be interpreted as gravitational
waves of Coulomb-type propagate on anti-de Sitter space backgrounds. Our
treatment focuses on the analysis of the equation of geodesic deviation.
