LOCALIZED MASS AND SPIN IN 2-DIMENSIONAL TOPOLOGICALLY MASSIVE GRAVITY(1)

Stationary solutions to the full non-linear topologically massive grav ity (TMG) are obtained for localized sources of mass m and spin sigma. Our results show that the topological term induces spin and that the total spin J (which is the spin observed by an asymptotic observer) ra nges from 0 to sigma + m/mu(4 pi+m/4 pi+2m) depending on the structure of the spin source (here mu is the topological mass). We find that it is inconsistent to consider actual delta function mass and spin sourc es. In the point-like limit, however, we find no condition constrainin g m and sigma contrary to a previous analysis [2]. (C) 1997 Elsevier S cience B.V.