Just though it would be cool to talk about Zombies in Space. After all it is completely possible. Zombies require no air or water or anything like that. They couldn't really hurt you. Just move around.

Major FAULTS!
1) In the vacuum of space, blood boils, blood vessels expand and possibly blow up. The brain has a lot of blood vessels. Zombies can't survive in space, unless their wearing a fully-enclosed astronaut outfit.
2) Bits of material fly around in space at almost light speeds. It would only take a couple of lucky particles and that Zombie's dead
3) If the Zombie is caught in a planet's gravity well, it could be brought down to "earth". The friction would burn it to a cinder. And if it can survive that AND the almost certain explosion of its body when it smashes into the earth, then it isn't a Zombie.

So, Zombies are possible in space. On ships of the future.