STELLAR EQUILIBRIUM IN 2+1-DIMENSIONS

The hydrostatic equilibrium of a (2 + 1)-dimensional perfect fluid sta r in asymptotically anti-de Sitter space is discussed. The interior ge ometry matches the exterior 2 + 1 black-hole solution. An upper mass l imit is found, analogous to Buchdahl's theorem in 3 + 1 dimensions, an d the possibility of collapse is discussed. The case of a uniform matt er density is solved exactly and a new interior solution is presented.