(a) If a party dies and the claim is not extinguished or barred, the court may order substitution of the proper parties. The motion for substitution may be made by the successors or representatives of the deceased party or by any party and, together with the notice of hearing, shall be served on the parties as provided in Rule 5 and upon persons not parties in the manner provided in Rule 4 for the service of process.(b) In the event of the death of one or more of the plaintiffs or of one or more of the defendants in an action in which the right sought to be enforced survives only to the surviving plaintiffs or only against the surviving defendants, the action does not abate. The death shall be indicated upon the record and the action shall proceed in favor of or against the surviving parties.