Abstract
Two families of exact general relativistic rotating thick disks based on the Kerr metric are obtained by applying two kinds of transformation on the Kerr solution. The first is the one proposed by Miyamoto and Nagai in the context of Newtonian galactic models, and the second one is based on the ``displace, cut, fill and reflect'' method. Both kinds of disks have well-behaved energy-density distributions. A stability analysis of circular orbits on the $z=0$ plane shows that for large values of the Kerr parameter some retrograde orbits tend to be unstable.
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