  This is the second in a series of papers on the construction of explicit
solutions to the stationary axisymmetric Einstein equations which can be
interpreted as counter-rotating disks of dust. We discuss the class of
solutions to the Einstein equations for disks with constant angular velocity
and constant relative density which was constructed in the first part. The
metric for these spacetimes is given in terms of theta functions on a Riemann
surface of genus 2. We discuss the metric functions at the axis of symmetry and
the disk. Interesting limiting cases are the Newtonian limit, the static limit,
and the ultra-relativistic limit of the solution in which the central redshift
diverges.
