The Rules
In a casket match, the corpse receptacle which gives the contest its name is present either at ringside or in the ring, and the only way to win is to place one's opponent inside the body box and close the lid fully; earlier variations included the bodybag match (which seemed to be a house show staple during Callaway's early WWF run), and the first casket match, where being put into the coffin was the result of being pinned (and Taker actually nailed Kamala's coffin shut, which makes this writer's claustrophobic nerves tingle).
The casket itself tends to change depending on the man with whom Undertaker is feuding, and has included a personalized golden coffin for Goldust and a double-deep-double-wide (says Paul Bearer) monstrosity constructed for Yokozuna's massive frame.