I'm writing a murder mystery set on an interstellar starship.
Context: The victim was found dead in a zero-gee chamber inside the ship. The ship is in interstellar space and traveling at around half the speed of light (the chamber is a therapeutic room artificially kept at zero gee).
My question: What would the corpse look like? Are there effects I should be aware of (for example, I assume the blood won't pool down and produce splotches)?