Not necessarily so. Depends on what was granted IF paper work has been filed. If divorce paper work has not been filed then she can take them anywhere she wants. If it has been filed AND if there was a stay away order granted ( and that can be done ex partee and sealed) then she could still leave
There doesn’t have to be a divorce action filed. Parties can simply enter into a marital separation agreement (binding court order) in which they each agree to do certain things. A judge doesn’t have to rule on the issues because they’re resolved (at least temporarily or until another event occurs, such as a divorce decree being entered), just enter the order. This is especially routine when both parties are represented by counsel. I doubt that Tiger’s lawyers, knowing Elin is from Sweden and has family there, didn’t get strict requirements of her with respect to where the kids can go and for how long. In this case, the parties have a pre-nuptial agreement, so that would be the jumping-off place in terms of their legal issues at this point. They don’t have to have a divorce action filed in order for each party to bind the other to specific actions or to do any of this.