  We present a method for constructing equilibrium disks with net angular
momentum in general relativity. The method solves the relativistic Vlasov
equation coupled to Einstein's equations for the gravitational field. We apply
the method to construct disks that are relativistic versions of Newtonian
Kalnajs disks. In Newtonian gravity these disks are analytic, and are stable
against ring formation for certain ranges of their velocity dispersion. We
investigate the existence of fully general relativistic equilibrium sequences
for differing values of the velocity dispersion. These models are the first
rotating, relativistic disk solutions of the collisionless Boltzman equation.
