Counterrotating Dust Disk Around a Schwarzschild Black Hole: New Fully Integrated Explicit Exact Solution
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Universidad Industrial de Santander
The first fully integrated explicit exact solution of Einstein's field equations corresponding to the superposition of a counterrotating dust disk with a central black hole is presented. The obtained solution represents an infinite annular thin disk (a disk with an inner edge) around the Schwarsz-child black hole, and the corresponding to energy-momentum tensor agrees with all the energy conditions. The solution can also be interpreted as des-cribing a thin disk made of two counterrotating dust fluids that are also in agreement with all the energy conditions.
Classical General Relativity, exact solutions, self-gravitating systems, Einstein equations