Abstract
The invariance transformations of the axisymmetric five-dimensional vacuum Einstein equations in a represenation of the group SL(3, R ) in the potential space (analogous to the Ernst potential space). Using this formulation, an exact class of stationary axisymmetric solutions is generated, which contains among others Belinsky-Ruffini, Kramer and the Kerr-NUT solutions, as particular cases.
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