  We extend the construction of the Alcubierre-Natario class of warp drives to
an infinite class of spacetimes with similar properties. This is achieved by
utilising the Martel-Poisson charts which closely resemble the Weak
Painleve-Gullstrand form for various background metrics (Mink, AdS, dS). The
highlight of this construction is the non-flat intrinsic metric which in
three-dimensional spacetimes introduces conical singularities at the origin and
in higher dimensions generates a non-zero Ricci scalar for the spatial
hypersurfaces away from the origin. We analyse the expansion/contraction of
space and negative energy densities associated with this class of warp drives
and find interesting deviations due to the global imprints of the conical
defects. Several generalizations are also discussed.
