Relativistic disks - I. Counter rotating disks

Abstract

Simple disks in equilibrium under their own gravity and with velocities independent of radius are constructed. In the first paper these are artificial, in that equal numbers of stars are moving in each sense of rotation which eliminates inertial frame dragging. Each stream is also cold. The disks have interesting, almost naked, central singularities which we believe should not be cosmically censored, and the disks become self-similar when their outer radii are infinite. The finite disks are useful for interpreting the self-similar infinite disks.