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Exact self-gravitating disks and rings: A solitonic approach
P. S. Letelier, S. R. Oliveira
Source abstract
The Belinsky–Zakharov version of the inverse scattering method is used to generate a large class of solutions to the vacuum Einstein equations representing uniformly accelerating and rotating disks and rings. The solutions studied are generated from a simple class of static disks and rings that can be expressed in a simple form using suitable complex functions of the usual cylindrical coordinates.
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