5D Axisymmetric Stationary Solutions as Harmonic Maps
Abstract
We present the complete scheme of the application of the one-and two dimensional subspace and subgroups method to five-dimensional gravity with a G3 group of motion. We do so in the space time and in the potential space formalisms. From this method one obtains the Kramer, Belinsky-Ruffini, Dobiasch-Maison, Cl\'ement, Gross-Perry-Sorkin solutions etc. as special cases.
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