  The Alcubierre metric describes a spacetime geometry that allows a massive
particle inside a spacetime distortion, called warp bubble, to travel with
superluminal global velocities. In this work we advance solutions of the
Einstein equations with the cosmological constant for the Alcubierre warp drive
metric having the perfect fluid as source. We also consider the particular dust
case with the cosmological constant, which generalizes our previous dust
solution (arXiv:2008.06560) and led to vacuum solutions connecting the warp
drive with shock waves via the Burgers equation, as well as our perfect fluid
solution without the cosmological constant (arXiv:2101.11467). All energy
conditions are also analyzed. The results show that the shift vector in the
direction of the warp bubble motion creates a coupling in the Einstein
equations that requires off-diagonal terms in the energy-momentum source.
Therefore, it seems that to achieve superluminal speeds by means of the
Alcubierre warp drive spacetime geometry one may require a complex
configuration and distribution of energy, matter and momentum as source in
order to produce a warp drive bubble. In addition, warp speeds seem to require
more complex forms of matter than dust for stable solutions and that negative
matter may not be a strict requirement to achieve global superluminal speeds.
