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

The cosmological sector to the full non-linear topologically massive g ravity (TMG) is obtained for localized sources of mass m and spin sigm a besides the asymptotically spinning conical flat sector previously o btained [A. Edery, M.B. Paranjape, gr-qc/9606029, to be published]. In a small region near but outside the sources, the metric resembles the spinning conical flat metric but we find that the mass m creates a ne gative deficit angle of 3m as opposed to In. Furthermore, it is not po ssible to recover the results of pure Einstein gravity in the limit mu --> infinity unlike the flat sector. (C) 1997 Elsevier Science B.V.