Vacuum Solutions of Einstein's Equations in Parabolic Coordinates
classification
🌀 gr-qc
hep-th
keywords
methodsolutionscoordinateseinsteinequationsparabolicvacuumbelinsky-zakharov
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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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