GENERAL COVARIANT CONSERVATION LAW OF ANGULAR-MOMENTUM IN GENERAL-RELATIVITY

The conservative Noether current corresponding to the invariance of th e action of a gravity-matter system under the local Lorentz transforma tion can be interpreted as the angular momentum tensor of the system. The existence of superpotentials which are expressed in terms of the v ierbein only makes the total current identically conserved and the tot al angular momentum gauge-covariant. Two examples are given. If is sho wn that this conservation law of angular momentum in general relativit y is reasonable.