Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk

Details Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk Exact Relativistic Gravitational Field of a Stationary Counterrotating Dust Disk

1999-08-13

arxiv.org/abs/gr-qc/9908042v1

Phys.Rev.Lett. 83 (1999) 2884-2887

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

10 pages, 2 figures, uses PSTricks-package; to appear in Phys. Rev. Lett

Scientific paper

10.1103/PhysRevLett.83.2884

Disks of collisionless particles are important models for certain galaxies and accretion disks in astrophysics. We present here a solution to the stationary axisymmetric Einstein equations which represents an infinitesimally thin dust disk consisting of two streams of particles circulating with constant angular velocity in opposite directions. These streams have the same density distribution but their relative density may vary continuously. In the limit of only one component of dust, we get the solution for the rigidly rotating dust disk previously given by Neugebauer and Meinel, in the limit of identical densities, the static disk of Morgan and Morgan is obtained. We discuss the Newtonian and the ultrarelativistic limit, the occurrence of ergospheres, and the regularity of the solution.

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