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Vacuum Solutions of Einstein's Equations in Parabolic Coordinates

Stefano Viaggiu
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Abstract

We present a simple method to obtain vacuum solutions of Einstein's equations in parabolic coordinates starting from ones with cylindrical symmetries. Furthermore, a generalization of the method to a more general situation is given together with a discussion of the possible relations between our method and the Belinsky-Zakharov soliton-generating solutions.

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Stefano Viaggiu. 2005-05-27. Vacuum Solutions of Einstein's Equations in Parabolic Coordinates. https://doi.org/10.1088/0264-9381%2F22%2F12%2F001

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