  Multi-parameter solutions to the Einstein equations in 2+1 dimensions are
presented, with stress-energy given by a rotating dust with negative
cosmological constant. The matter density is uniform in the corotating frame,
and the ratio of the density to the vacuum energy may be freely chosen. The
rotation profile of the dust is controlled by two parameters, and the
circumference of a circle of a given radius is controlled by two additional
parameters. Though locally related to known metrics, the global properties of
this class of spacetimes are nontrivial and allow for new and interesting
structure, including apparent horizons and closed timelike curves, which can be
censored by a certain parameter choice. General members of this class of
metrics have two Killing vectors, but parameters can be chosen to enhance the
symmetry to four Killing vectors. The causal structure of these geometries,
interesting limits, and relationship to the G\"odel metric are discussed. An
additional solution, with nonuniform dust density in a Gaussian profile and
zero cosmological constant, is also presented, and its relation to the
uniform-density solutions in a certain limit is discussed.
