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General relativistic gravitational field of a rigidly rotating disk of dust: Solution in terms of ultraelliptic functions
Preprint
14 February 2003
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Abstract
In a recent paper we presented analytic expressions for the axis potential, the disk metric, and the surface mass density of the global solution to Einstein's field equations describing a rigidly rotating disk of dust. Here we add the complete solution in terms of ultraelliptic functions and quadratures.