Vacuum Solutions of Einstein's Equations in Parabolic Coordinates

Details Vacuum Solutions of Einstein's Equations in Parabolic Coordinates Vacuum Solutions of Einstein's Equations in Parabolic Coordinates

2004-06-14

arxiv.org/abs/gr-qc/0406060v2

Class. Quantum Grav. 22(2005) 2309-2318

Astronomy and Astrophysics

Astrophysics

General Relativity and Quantum Cosmology

15 pages, version published in Class. Quantum Grav

Scientific paper

10.1088/0264-9381/22/12/001

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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