Vacuum Solutions of Einstein's Equations in Parabolic Coordinates
arXiv:gr-qc/0406060 · doi:10.1088/0264-9381/22/12/001
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.
15 pages, version published in Class. Quantum Grav