Once Bob puts Alice into statis, the stasis ball is impenetrable, so the cops don't know if Alice was alive or dead when she was involuntarily put into stasis.
However, they do know that the stasis bubble containing Alice will eventually open up and pop Alice back into the current time. And they know when that will happen. So, the state puts Bob (the guilty party) into stasis too; with Bob's stasis timed to end when Alice's ends.
In this way, both stasis fields pop at roughtly the same time, and Bob can be tried either for murder, or for whatever the name is when you transport someone into the future against their wishes.