a New Exact Static Thin Disk with a Central Black Hole

Computer Science

Scientific paper

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Scientific paper

A new exact solution of the Einstein equations corresponding to the superposition of an annular static thin disk with a central black hole is presented. All the metric functions of the superposition are explicitly computed and the obtained expressions are simply written in terms of oblate spheroidal coordinates. The obtained solution represents an infinite annular thin disk around the Schwarszchild black hole. The mass of the disk is finite and the energy-momentum tensor agrees with all the energy conditions.

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