  We construct Godel-type black hole and particle solutions to Einstein-Maxwell
theory in 2+1 dimensions with a negative cosmological constant and a
Chern-Simons term. On-shell, the electromagnetic stress-energy tensor
effectively replaces the cosmological constant by minus the square of the
topological mass and produces the stress-energy of a pressure-free perfect
fluid. We show how a particular solution is related to the original Godel
universe and analyze the solutions from the point of view of identifications.
Finally, we compute the conserved charges and work out the thermodynamics.
