Rotating charged fluid in 2+1 dimensions

The (2+l)-dimensional Einstein-Maxwell equations are solved for a perfect fluid source with a positive electric charge distribution and nonzero vorticity. The solution describes the interior region of an extended charged object and is physically reasonable in the sense that the massenergy density and the pressure are both positive throughout the region. An unexpected feature is that the charged fluid produces no electric field in its proper frame of reference, so that the electromagnetic field is purely magnetic.