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Disks of collisionless particles are important models for certain galaxiesand accretion disks in astrophysics. We present here a solution to thestationary axisymmetric Einstein equations which represents an infinitesimallythin dust disk consisting of two streams of particles circulating with constantangular velocity in opposite directions. These streams have the same densitydistribution but their relative density may vary continuously. In the limit ofonly one component of dust, we get the solution for the rigidly rotating dustdisk previously given by Neugebauer and Meinel, in the limit of identicaldensities, the static disk of Morgan and Morgan is obtained. We discuss theNewtonian and the ultrarelativistic limit, the occurrence of ergospheres, andthe regularity of the solution.Comment: 10 pages, 2 figures, uses PSTricks-package; to appear in Phys. Rev.  Let

Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk